Geometry -practice Quiz

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About This Quiz
Geometry -practice Quiz - Quiz

This Exam will test your knowledge of Geometry.

Topics will include the properties and applications of common geometric figures in two and three dimensions, angles, parallel lines, congruent and similar triangles, rectilinear figures, polygons, circles and arc, and the Pythagorean Theorem.

You must complete this entire test in one... see moresitting.
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4. Use the special right triangle ratios to find the missing side of the 45-45-90 triangle shown below:
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5. What is the interior angle sum of an octagon?
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6. What is the measure of one exterior angle of a regular nonagon?
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7. Given rectangle ABCD with diagonals drawn in, solve for x if AC = 4x + 2 and BD = 2x + 10.
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8. Tind the area of the triangle shown below:

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9. Find the distance between (3, 5) and (-1, 2).
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10. Which of the following lines is parallel to y = 5x - 8?
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11. What is the equation of a line with a slope of 2/3 and a y-intercept of (0, 4)?
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12. What is the area of a regular pentagon with a side of length 10 and an apothem of length 6.88?
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13. For the original triangle:    

Find sin A and cos A.
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14. For the original triangle:    

Find sin B and cos B.
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15. For the following triangle:



Find sin A and cos A.
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16. For the following triangle:



Find tan A and tan B.
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17. Identify the following Platonic Solid
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18. Choose the correct answer to complete the definition: A number is said to ___________ a number when that which is multiplied is added to itself as many times as there are units in the other.
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19. Choose the correct answer to complete the definition: A _______________ is a solid figure contained by planes two of which, namely those which are opposite, are equal, similar, and parallel, while the rest are parallelograms.
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20. Choose the correct answer to complete the definition: The ______________ is the straight line which remains fixed and about which the parallelogram is turned.
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21. Choose the correct answer to complete the definition: An ______________ is a solid figure contained by eight equal and equilateral triangles.
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22. Choose the correct answer to complete the definition: A ______________ is a solid figure contained by twelve equal, equilateral and equiangular pentagons.
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23. Given parallelogram PQRS with diagonals PR and QS drawn and meeting at point T, if PT = 8 units, find the length of PR.
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24. Find the slope of the line containing points (4, 6) and (-2, 8).
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25. Which of the following is an equation of a line that is perpendicular to y = -4/5x + 1?
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26. What would be the final cost of a pair of $55 shoes including a 10% sales tax?
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27. What is the slope of the line 3y - 5x = 9?
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28. Use the special right triangle ratios to find the missing side of the 45-45-90 triangle shown below:
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29. Use the 30-60-90 triangle shown below to find the missing side.
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30. Use the right triangle below to find Sin(A):

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31. Given parallelogram PQRS with diagonals PR and QS drawn and meeting at point T, if PT = 8 units, find the length of PR.
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32. What is the measure of angle AEB in the rhombus below?
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33. Find the distance between (3, 5) and (-1, 2).
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34. What type of geometric drawing is shown below?
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35. Find the distance between (4, 5) and (2, 9).

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36. What type of angle is shown below?
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37. What type of shape is shown below?
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38. What type of shape is shown below?
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39. What type of triangle is shown below?
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40. What type of triangle is shown below?
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41. What type of quadrilateral is shown below?
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42. What is the word we use in geometry that means "equal" or the "same measurement?"
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43. What is the most specific way we can describe/classify the drawing below?
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48. Choose the correct answer to complete the definition: Numbers _________________ are those which are measured by a unit alone as a common measure.
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49. What type of angle is shown below?
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51. Find the slope of the line containing points (4, 6) and (-2, 8).
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52. What type of point is being highlighted (pointed to) in the drawing below?
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54. Use the 30-60-90 triangle ratios to find the missing side of the triangle below:

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55. Givne parallelogram PQRS with diagonals PR and QS drawn and meeting at point T, if PT = 8 units, find the length of PR.

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56. Which of the following lines is perpendicular to y = -4/5x + 1?
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57. Choose the correct answer to complete the definition: _______________ figures are those contained by similar planes equal in multitude.
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58. Two angles of a triangle have measures of 45 degrees and 50 degrees. What is the measure of the third angle?
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59. What is the measure of one exterior angle of a regular nonagon?
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60. Find the missing side of the 30-60-90 triangle below:

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61. Given parallelogram PQRS, find angle P.

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62. What type of geometric drawing is shown below?
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63. What type of angle is shown below?
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64. What type of angle is shown below?
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65. What type of triangle is shown below?
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66. What is the most specific way we can describe/classify the drawing below?
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68. Which statement is NEVER true?
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70. Which is the correct factorization of 3x2 - 4x - 4?
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71. Two angles of a triangle measure 65 degrees and 85 degrees. What is the measure of the third angle?
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72. What is the slope of the line 3y - 5x = 9?
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73. What would be the equation of a line parallel to 2x + y = 18 and passing through the point  (3, 9)?
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74. Identify the following Platonic Solid
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75. Identify the following Platonic Solid
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76. Choose the correct answer to complete the definition: The greater number is a __________ of the less when it is measured by the less.
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77. Choose the correct answer to complete the definition: And a ___________ is equal multiplied by equal and again by equal, or a number which is contained by three equal numbers.
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78. Choose the correct answer to complete the definition: A ___________ is that which is measured by a unit alone.
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79. Choose the correct answer to complete the definition: Numbers _________________ are those which are measured by some number as a common measure.
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80. Choose the correct answer to complete the definition: A _________ is that which has length, breadth, and depth.
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81. Choose the correct answer to complete the definition: _______________ are those which do not meet.
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82. Choose the correct answer to complete the definition: __________________________ are those in which the axes and the diameters of the bases are proportional.
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83. Find the missing side of the 30-60-90 triangle below:

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84. Given parallelogram PQRS, find angle P.

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85. Given parallelogram PQRS, find angle Q.
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86. What is the circumference of a circle that has a diameter of 8 units?
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87. What type of geometric drawing is shown below?
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88. What type of point is being highlighted (pointed to) in the drawing below?
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93. Use the right triangle below to find Sin(A):

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94. What is the measure of angle AEB in the rhombus below?
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95. What is the equation of the line with a slope of 2/3 and a y-intercept of (0, 4)?
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96. What type of geometric drawing is shown below?
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97. What type of triangle is shown below?
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99. Given that GH is parallel to JI below, find x in degrees.
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100. Find the area of the sector ACB shown below:
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101. What would be the final cost of a pair of $55 shoes including a 10% sales tax?
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102. For the following triangle:



Find sin B and cos B.
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103. Choose the correct answer to complete the definition: A straight line is _________________s to a plane when it makes right angles with all the straight lines which meet it and are in the plane.
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104. What are the solutions to the equaiton (x + 5)(x - 2) = 0?
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105. What is the slope of the line 3y - 5x = 9?
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106. What is the interior angle sum of an octagon?
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107. What is the area of a circle that has a radius of 8 units?
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108. Find the midpoint of (4, 6) and (-2, 10).
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109. Find the distance between (3, 5) and (-1, 2).
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110. Which of the following lines is parallel to y = 5x - 8?
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111. Given the right triangle below, find the length of the hypotenuse.
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118. Choose the correct answer to complete the definition: The _______________ is the same as that of the semicircle.
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119. What type of quadrilateral is shown below?
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120. What is the correct factorization of 10x3 - 6x2?

A. 2x(5x2 - 3)
B. 2x2(5x - 3)
C. 2(5x2 - 3x)
D. 6x2(4x - 1)
E. none of the above
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121. What is the equation of the line perpendicular to y = 1/2x + 7 and passing through the point  (0, 6)?
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122. What is the circumference of a circle that has a diameter of 8 units?
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123. Given the area of a trapezoid is A = 1/2(b1 + b2)h, find the area of the trapezoid shown below:

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124. Find the distance between (4, 5) and (2, 9).

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125. Which is the correct factorization of the trinomial 4x2 + 6x + 9?
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126. Find the area of the triangle shown below:

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127. What type of quadrilateral is shown below?
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128. What type of quadrilateral is shown below?
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129.
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130. What is the measure of angle AEB in the rhombus below?

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131. Choose the correct answer to complete the definition: An ______________________ is that which is measured by an even number according to an odd number.
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132. Choose the correct answer to complete the definition: The _______________ is the straight line which remains fixed and about which the triangle is turned.
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133. What is the correct factorization of the expression 8x2 - 4x3?

A. 4x(2x - x2)
B. 4x2(2 - x)
C. 8x2(1 - 2x)
D. x2(8 - 4x)
E. none of the above
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134. Given the rhombus below, use Pythagorean Theorem to find one of the missing side lengths.
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135. What is the most specific way we can describe/classify the drawing below?
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136. What type of triangle is shown below?
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140. The diagonals of a quadrilateral are perpendicular bisectors of each other.  What name best describe the quadrilateral?
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141. Two consecutive angles of a trapezoid are right angles.  Three of the following statements about the trapezoid could be true.  Which statement CANNOT be true?
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142. What are the solutions to the equation (3x + 1)(x + 5) = 0?
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143. Use the 30-60-90 triangle below to find the missing side.
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144. Given parallelogram PQRS below, solve for x.
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145. Given parallelogram ABCD, find angle B.

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146. What is the area of a circle that has a radius of 8 units?
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147. What is the circumference of a circle that has a radius of 8 units?
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148. Given the area of a trapezoid is A = 1/2(b1 + b2)h, find the area of the trapezoid shown below:
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149. Given isosceles trapezoid ABCD, solve for x.
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150. Find the measure of the secant-secant angle shown below:
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151. Find the measure of the inscribed angle shown below:
Given arc AB = 50 degrees, find the measure of angle C.
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152. Which of the following is an equation of a line with a zero slope?
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153. Which of the following are true about a square and a rectangle?

I. diagonals are congruent
II. all four sides are congruent.
II. all angles are right angles.
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154. Choose the correct answer to complete the definition: A ________ is that by virtue of which each of the things that exist is called one.
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155. Choose the correct answer to complete the definition: An ___________ is that which is not divisible into two equal parts, or that which differs by a unit from an even number.
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156. Choose the correct answer to complete the definition: An ______________________ is that which is measured by an odd number according to an odd number.
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157. Choose the correct answer to complete the definition: A ______________ is that which is equal to the sum its own parts.
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158. Choose the correct answer to complete the definition: The ____________ of a plane to a plane is the acute angle contained by the straight lines drawn at right angles to the intersection at the same point, one in each of the planes.
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159. Choose the correct answer to complete the definition: An ______________ is a solid figure contained by twenty equal and equilateral triangles.
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160. Which is the correct factorization of the trinomial 4x2 + 6x + 9?
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161. Given rectangle ABCD with diagonals drawn in, solve for x if AC = 4x + 2 and BD = 2x + 10.
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162. Find the area of the triangle shown below:

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164. The diameter of a circular pizza is 10 inches. Find the area of the pizza to the nearest square inch.
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165. What is the equation of the line passing through points (2, 6) and (1, 8)?
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166. Two angles of a triangle have measures of 45 degrees and 50 degrees. What is the measure of the third angle?
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167. Use the right triangle below to find Tan(A):

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168. What is the interior angle sum of an octagon?
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169. What is the area of a circle that has a radius of 8 units?
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170. The perimeter of a square is 20 cm. What is the area of the same square?
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172. Find the slope of the line containing points (4, 6) and (-2, 8).
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178. Find the length of the missing leg of the right triangle shown below:
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179. The diameter of a circular pizza is 10 inches. Find the area of the pizza to the nearest square inch.
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180. What is the equation of the line passing through points (2, 6) and (1, 8)?
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181. Choose the correct answer to complete the definition: The _______________ is the straight line which remains fixed and about which the semicircle is turned.
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182. What is the measure of one exterior angle of a regular nonagon?
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183. Which of the following lines is parallel to y = 5x - 8?
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184. Use the right triangle below to find Tan(A):
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185. Choose the correct answer to complete the definition: A ____________ is a multitude composed of units.
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186. Choose the correct answer to complete the definition: A ___________ is that which is measured by some number.
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187. Choose the correct answer to complete the definition: A ___________ is equal multiplied by equal, or a number which is contained by two equal numbers.
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188. Choose the correct answer to complete the definition: An ______________________ is that which is measured by an even number according to an even number.
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189. Choose the correct answer to complete the definition: A _______________ is the inclination constituted by more than two lines which meet one another and are not in the same surface, towards all the lines, that is, a solid angle is that which is contained by more than two plane angles which are not in the same plane and are constructed to one point.
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190. Find the missing side of the two similar triangles below, marked x.
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191. Use the special right triangle ratios to find the missing side of the 45-45-90 triangle shown below:
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192. The perimeter of a square is 20 cm. What is the area of the same square?
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193. Which of the following is an equation of a line with a zero slope?
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194. What is the equation of a line perpendicular to y = 1/2x + 7 and passing through the point     (0, 6)?
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195. What are the solutions to the equaiton (x + 5)(x - 2) = 0?
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196. The diameter of a circular pizza is 10 inches. Find the area of the pizza to the nearest square inch.
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197. Find the midpoint of (4, 6) and (-2, 10).
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198. What type of triangle is shown below?
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Use the special right triangle ratios to find the missing side of the...
What is the interior angle sum of an octagon?
What is the measure of one exterior angle of a regular nonagon?
Given rectangle ABCD with diagonals drawn in, solve for x if AC = 4x +...
Tind the area of the triangle shown below:
Find the distance between (3, 5) and (-1, 2).
Which of the following lines is parallel to y = 5x - 8?
What is the equation of a line with a slope of 2/3 and a y-intercept...
What is the area of a regular pentagon with a side of length 10 and an...
For the original triangle:     Find sin A and cos A.
For the original triangle:     Find sin B and cos B.
For the following triangle: Find sin A and cos A.
For the following triangle: Find tan A and tan B.
Identify the following Platonic Solid
Choose the correct answer to complete the definition: A number is said...
Choose the correct answer to complete the definition: A...
Choose the correct answer to complete the definition: The...
Choose the correct answer to complete the definition: An...
Choose the correct answer to complete the definition: A ______________...
Given parallelogram PQRS with diagonals PR and QS drawn and meeting at...
Find the slope of the line containing points (4, 6) and (-2, 8).
Which of the following is an equation of a line that is perpendicular...
What would be the final cost of a pair of $55 shoes including a 10%...
What is the slope of the line 3y - 5x = 9?
Use the special right triangle ratios to find the missing side of the...
Use the 30-60-90 triangle shown below to find the missing side.
Use the right triangle below to find Sin(A):
Given parallelogram PQRS with diagonals PR and QS drawn and meeting at...
What is the measure of angle AEB in the rhombus below?
Find the distance between (3, 5) and (-1, 2).
What type of geometric drawing is shown below?
Find the distance between (4, 5) and (2, 9).
What type of angle is shown below?
What type of shape is shown below?
What type of shape is shown below?
What type of triangle is shown below?
What type of triangle is shown below?
What type of quadrilateral is shown below?
What is the word we use in geometry that means "equal" or the "same...
What is the most specific way we can describe/classify the drawing...
Choose the correct answer to complete the definition: Numbers...
What type of angle is shown below?
Find the slope of the line containing points (4, 6) and (-2, 8).
What type of point is being highlighted (pointed to) in the drawing...
Use the 30-60-90 triangle ratios to find the missing side of the...
Givne parallelogram PQRS with diagonals PR and QS drawn and meeting at...
Which of the following lines is perpendicular to y = -4/5x + 1?
Choose the correct answer to complete the definition: _______________...
Two angles of a triangle have measures of 45 degrees and 50 degrees....
What is the measure of one exterior angle of a regular nonagon?
Find the missing side of the 30-60-90 triangle below:
Given parallelogram PQRS, find angle P.
What type of geometric drawing is shown below?
What type of angle is shown below?
What type of angle is shown below?
What type of triangle is shown below?
What is the most specific way we can describe/classify the drawing...
Which statement is NEVER true?
Which is the correct factorization of 3x2 - 4x - 4?
Two angles of a triangle measure 65 degrees and 85 degrees. What is...
What is the slope of the line 3y - 5x = 9?
What would be the equation of a line parallel to 2x + y = 18 and...
Identify the following Platonic Solid
Identify the following Platonic Solid
Choose the correct answer to complete the definition: The greater...
Choose the correct answer to complete the definition: And a...
Choose the correct answer to complete the definition: A ___________ is...
Choose the correct answer to complete the definition: Numbers...
Choose the correct answer to complete the definition: A _________ is...
Choose the correct answer to complete the definition: _______________...
Choose the correct answer to complete the definition:...
Find the missing side of the 30-60-90 triangle below:
Given parallelogram PQRS, find angle P.
Given parallelogram PQRS, find angle Q.
What is the circumference of a circle that has a diameter of 8 units?
What type of geometric drawing is shown below?
What type of point is being highlighted (pointed to) in the drawing...
Use the right triangle below to find Sin(A):
What is the measure of angle AEB in the rhombus below?
What is the equation of the line with a slope of 2/3 and a y-intercept...
What type of geometric drawing is shown below?
What type of triangle is shown below?
Given that GH is parallel to JI below, find x in degrees.
Find the area of the sector ACB shown below:
What would be the final cost of a pair of $55 shoes including a 10%...
For the following triangle: Find sin B and cos B.
Choose the correct answer to complete the definition: A straight line...
What are the solutions to the equaiton (x + 5)(x - 2) = 0?
What is the slope of the line 3y - 5x = 9?
What is the interior angle sum of an octagon?
What is the area of a circle that has a radius of 8 units?
Find the midpoint of (4, 6) and (-2, 10).
Find the distance between (3, 5) and (-1, 2).
Which of the following lines is parallel to y = 5x - 8?
Given the right triangle below, find the length of the hypotenuse.
Choose the correct answer to complete the definition: The...
What type of quadrilateral is shown below?
What is the correct factorization of 10x3 - 6x2?A. 2x(5x2 - 3)B....
What is the equation of the line perpendicular to y = 1/2x + 7 and...
What is the circumference of a circle that has a diameter of 8 units?
Given the area of a trapezoid is A = 1/2(b1 + b2)h, find the area...
Find the distance between (4, 5) and (2, 9).
Which is the correct factorization of the trinomial 4x2 + 6x + 9?
Find the area of the triangle shown below:
What type of quadrilateral is shown below?
What type of quadrilateral is shown below?
What is the measure of angle AEB in the rhombus below?
Choose the correct answer to complete the definition: An...
Choose the correct answer to complete the definition: The...
What is the correct factorization of the expression 8x2 - 4x3?A. 4x(2x...
Given the rhombus below, use Pythagorean Theorem to find one of the...
What is the most specific way we can describe/classify the drawing...
What type of triangle is shown below?
The diagonals of a quadrilateral are perpendicular bisectors of each...
Two consecutive angles of a trapezoid are right angles.  Three of...
What are the solutions to the equation (3x + 1)(x + 5) = 0?
Use the 30-60-90 triangle below to find the missing side.
Given parallelogram PQRS below, solve for x.
Given parallelogram ABCD, find angle B.
What is the area of a circle that has a radius of 8 units?
What is the circumference of a circle that has a radius of 8 units?
Given the area of a trapezoid is A = 1/2(b1 + b2)h, find the area of...
Given isosceles trapezoid ABCD, solve for x.
Find the measure of the secant-secant angle shown below:
Find the measure of the inscribed angle shown below: ...
Which of the following is an equation of a line with a zero slope?
Which of the following are true about a square and a rectangle?I....
Choose the correct answer to complete the definition: A ________ is...
Choose the correct answer to complete the definition: An ___________...
Choose the correct answer to complete the definition: An...
Choose the correct answer to complete the definition: A ______________...
Choose the correct answer to complete the definition: The ____________...
Choose the correct answer to complete the definition: An...
Which is the correct factorization of the trinomial 4x2 + 6x + 9?
Given rectangle ABCD with diagonals drawn in, solve for x if AC = 4x +...
Find the area of the triangle shown below:
The diameter of a circular pizza is 10 inches. Find the area of the...
What is the equation of the line passing through points (2, 6) and (1,...
Two angles of a triangle have measures of 45 degrees and 50 degrees....
Use the right triangle below to find Tan(A):
What is the interior angle sum of an octagon?
What is the area of a circle that has a radius of 8 units?
The perimeter of a square is 20 cm. What is the area of the same...
Find the slope of the line containing points (4, 6) and (-2, 8).
Find the length of the missing leg of the right triangle shown below:
The diameter of a circular pizza is 10 inches. Find the area of the...
What is the equation of the line passing through points (2, 6) and (1,...
Choose the correct answer to complete the definition: The...
What is the measure of one exterior angle of a regular nonagon?
Which of the following lines is parallel to y = 5x - 8?
Use the right triangle below to find Tan(A):
Choose the correct answer to complete the definition: A ____________...
Choose the correct answer to complete the definition: A ___________ is...
Choose the correct answer to complete the definition: A ___________ is...
Choose the correct answer to complete the definition: An...
Choose the correct answer to complete the definition: A...
Find the missing side of the two similar triangles below, marked x.
Use the special right triangle ratios to find the missing side of the...
The perimeter of a square is 20 cm. What is the area of the same...
Which of the following is an equation of a line with a zero slope?
What is the equation of a line perpendicular to y = 1/2x + 7 and...
What are the solutions to the equaiton (x + 5)(x - 2) = 0?
The diameter of a circular pizza is 10 inches. Find the area of the...
Find the midpoint of (4, 6) and (-2, 10).
What type of triangle is shown below?
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