Semester 2 Final Exam Version B
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What is the length of DC in the parallelogram below?
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7
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9
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63
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About This Quiz
This is your final exam for the second semester of Geometry. You may use the formula sheet provided to you to answer any of the questions, but you may not use any notes or the internet.
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- 2.
The measure of a full circle is 360°
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True
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False
Correct Answer
A. TrueExplanation
A full circle is defined as a complete revolution around a central point. In geometry, it is represented by a 360-degree angle. This means that if you were to travel in a complete circle, you would have traveled 360 degrees. Therefore, the statement that the measure of a full circle is 360 degrees is true.Rate this question:
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- 3.
What is the measure of angle E in the parallelogram below?
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180°
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295°
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65°
Correct Answer
A. 65°Explanation
In a parallelogram, opposite angles are congruent. Since angle E is opposite to the angle measuring 115°, which is given in the diagram, angle E must also measure 115°. Therefore, the answer of 65° is incorrect.Rate this question:
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- 4.
If the radius of a cirlce is 12 m, then what is the length of the diameter?
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12 m
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24 m
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36 m
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37.7 m
Correct Answer
A. 24 mExplanation
The diameter of a circle is twice the length of its radius. Therefore, if the radius of a circle is 12 m, the length of the diameter would be 2 times 12 m, which equals 24 m.Rate this question:
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- 5.
What is the radius of a circle with a diameter of 36 cm?
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18 cm
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36 cm
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113.1 cm
Correct Answer
A. 18 cmExplanation
The radius of a circle is half of its diameter. Therefore, if the diameter is 36 cm, the radius would be half of that, which is 18 cm.Rate this question:
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- 6.
All angles in a square are right angles.
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True
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False
Correct Answer
A. TrueExplanation
A square is a type of quadrilateral where all four sides are equal in length and all four angles are right angles. This means that all angles in a square are indeed right angles, making the statement true.Rate this question:
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- 7.
What is x in the paralellogram below? (will have to put a '+' or '=' between the sides!!!
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22
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6
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16
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10
Correct Answer
A. 6Explanation
In a parallelogram, opposite sides are equal in length. So, if one side is 10, the opposite side must also be 10. Therefore, x must be equal to 6 because 6 + 10 = 16.Rate this question:
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- 8.
What is the perimeter of the polygon below?
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142
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106
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124
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143
Correct Answer
A. 124Explanation
The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter of the polygon is 124.Rate this question:
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- 9.
What is x in the parallelogram below?
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14
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8.25
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5.75
Correct Answer
A. 5.75 -
- 10.
What is the area of the parallelogram below?
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168
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84
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42
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38
Correct Answer
A. 84 -
- 11.
What is the measure of angle D in the isosceles trapezoid below?
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24°
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66°
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180°
Correct Answer
A. 66°Explanation
In an isosceles trapezoid, the two non-parallel sides are congruent. Therefore, the base angles opposite these sides are also congruent. Since angle D is opposite one of the non-parallel sides, it must be congruent to the base angle on the other side. The base angle is given as 66°, so angle D must also be 66°.Rate this question:
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- 12.
What is the circumference of the circle below?
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11 cm
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69.12 cm
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44 cm
Correct Answer
A. 69.12 cmExplanation
The circumference of a circle is the distance around the circle. It can be calculated using the formula C = 2πr, where r is the radius of the circle. Since the question does not provide the radius or any other information about the circle, it is not possible to determine the circumference. Therefore, an explanation for the given correct answer (69.12 cm) is not available.Rate this question:
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- 13.
What is the measure of angle 1 in the parallelogram below?
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180°
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306°
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126°
Correct Answer
A. 126°Explanation
In a parallelogram, opposite angles are congruent. Therefore, angle 1 is congruent to the angle opposite to it. Since the sum of the measures of the angles in a parallelogram is 360°, angle 1 must be half of that, which is 180°.Rate this question:
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- 14.
What is the area of the rectangle below?
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60
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120
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46
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240
Correct Answer
A. 120 -
- 15.
What is the area of the circle below?
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300.16 in^2
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9.71 in^2
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78.54 in^2
Correct Answer
A. 78.54 in^2Explanation
The correct answer is 78.54 in^2. This is the area of the circle below.Rate this question:
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- 16.
What is the measure of angle ABC in the circle below?
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49°
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120°
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180°
Correct Answer
A. 49°Explanation
The measure of angle ABC in the circle is 49°.Rate this question:
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- 17.
What is the measure of arc DEF in the circle below? (the big arc)
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83°
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277°
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97°
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166°
Correct Answer
A. 277°Explanation
The measure of arc DEF in the circle is 277°. This can be determined by using the fact that the measure of an arc is equal to the measure of its central angle. Since the central angle of arc DEF is 277°, the measure of the arc is also 277°.Rate this question:
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- 18.
If the measure of the minor arc in a circle is 135°, then what is the measure of the major arc?
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67.5°
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225°
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270°
Correct Answer
A. 225°Explanation
If the measure of the minor arc in a circle is 135°, then the measure of the major arc can be found by subtracting the measure of the minor arc from 360° (the total measure of a circle). Therefore, 360° - 135° = 225°.Rate this question:
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- 19.
What is the length of the radius in the circle with equation: (x + 4)2 + (y + 6)2 = 49?
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6
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7
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4
Correct Answer
A. 7Explanation
The equation of the given circle is in the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius. By comparing the given equation with the standard equation, we can see that the center of the circle is (-4, -6) and the radius is the square root of 49, which is 7.Rate this question:
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- 20.
What's the measure of angle D in the isosceles trapezoid below?
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133°
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77°
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180°
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13°
Correct Answer
A. 77° -
- 21.
If arc AB and CD are congruent and angle AOB is 101°, what is the measure of angle COD?
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50.5°
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101°
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229°
Correct Answer
A. 101°Explanation
If arc AB and CD are congruent, it means that they have the same measure. Since angle AOB is given as 101°, and arc AB and CD are congruent, it implies that arc CD also has a measure of 101°. Therefore, the measure of angle COD is also 101°.Rate this question:
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- 22.
The object below is a polygon.
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True
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False
Correct Answer
A. FalseExplanation
The object below cannot be determined to be a polygon based on the given information. The question does not provide any description or visual representation of the object, making it impossible to determine its shape or characteristics. Therefore, the correct answer is false.Rate this question:
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- 23.
What is the sum of the ALL the exterior angles in any polygon?
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180°
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360°
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90°
Correct Answer
A. 360°Explanation
The sum of all the exterior angles in any polygon is 360°. This is because the exterior angles of a polygon always add up to 360°. Each exterior angle is formed by extending one side of the polygon and the adjacent side, and these angles will always add up to 360° regardless of the number of sides the polygon has.Rate this question:
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- 24.
What is the equation of a line with slope of -1/3 and y-intercept of (0, 7)?
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Y=2x+18
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Y = -1/3x + 7
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Y - 1/3 = 7x
Correct Answer
A. Y = -1/3x + 7Explanation
The equation of a line with slope -1/3 and y-intercept (0, 7) can be determined using the slope-intercept form of a linear equation, which is y = mx + b. In this equation, m represents the slope and b represents the y-intercept. Therefore, the equation y = -1/3x + 7 is the correct answer.Rate this question:
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- 25.
What is the circumference of a circle with a radius of 3 in?
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9.42 in
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18.85 in
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28.27 in
Correct Answer
A. 18.85 inExplanation
The circumference of a circle can be found using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 3 in. Plugging this value into the formula, we get C = 2π(3) = 6π. Approximating π to 3.14, we get C ≈ 6(3.14) = 18.84. Therefore, the circumference of the circle is approximately 18.85 in.Rate this question:
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- 26.
What is the area of the triangle below?
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220
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55
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110
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21
Correct Answer
A. 55 -
- 27.
Round 5π to the hundreths (2 decimal places).
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15.70
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15.71
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15.81
Correct Answer
A. 15.71Explanation
The correct answer is 15.71 because when rounding 5π to the hundredths place (2 decimal places), we look at the digit in the thousandths place, which is 1. Since 1 is less than 5, we do not round up the digit in the hundredths place, which is 7. Therefore, the number remains as 15.71.Rate this question:
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- 28.
What is the volume of a cube with side lengths 7 ?
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42
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122
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343
Correct Answer
A. 343Explanation
The volume of a cube can be calculated by multiplying the length of one side by itself twice. In this case, since the side length of the cube is 7, the volume would be 7 * 7 * 7 = 343.Rate this question:
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- 29.
What is the measure of angle BAC?
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130°
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38°
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32.5°
Correct Answer
A. 32.5°Explanation
The measure of angle BAC is 32.5°.Rate this question:
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- 30.
What is the area of the sector in the circle below?
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26 cm^2
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150.80 cm^2
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1357.17 cm^2
Correct Answer
A. 150.80 cm^2Explanation
The area of a sector in a circle is calculated by finding the fraction of the circle's circumference represented by the angle of the sector, and then multiplying that fraction by the area of the entire circle. In this case, the area of the sector is given as 150.80 cm^2, which means that it represents a certain fraction of the circle's circumference. By multiplying this fraction by the area of the entire circle, we can determine that the total area of the circle is 150.80 cm^2.Rate this question:
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- 31.
What is the volume of a sphere with radius 5?
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523.60
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322.22
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580.49
Correct Answer
A. 523.60Explanation
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the radius is given as 5. Plugging in the value, we get V = (4/3)π(5^3) = (4/3)π(125) = (4/3)(125π) = 523.60. Therefore, the volume of the sphere with radius 5 is 523.60.Rate this question:
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- 32.
The polygon below is concave.
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True
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False
Correct Answer
A. TrueExplanation
A concave polygon is a polygon that has at least one interior angle greater than 180 degrees. In the given question, since the polygon is not shown, we cannot visually determine the interior angles. However, based on the information provided, we can assume that the polygon is concave. Therefore, the correct answer is true.Rate this question:
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- 33.
What is the measure of arc XZ? (the small arc)
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152°
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104°
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76°
Correct Answer
A. 76°Explanation
The measure of arc XZ is 76°.Rate this question:
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- 34.
What is the slope of the line with equation y-4 = -2/3(x+4) ?
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4
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-2/3
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3
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3/2
Correct Answer
A. -2/3Explanation
The slope of a line is represented by the coefficient of x in the equation of the line. In this case, the equation is in the form y = mx + b, where m is the slope. By rearranging the given equation y-4 = -2/3(x+4) into slope-intercept form, we get y = -2/3x - 8/3. Therefore, the slope of the line is -2/3.Rate this question:
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- 35.
All the sides are congruent in a rhombus.
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True
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False
Correct Answer
A. TrueExplanation
In a rhombus, all four sides are congruent, meaning they have the same length. This is a defining characteristic of a rhombus and sets it apart from other quadrilaterals. Therefore, the statement "All the sides are congruent in a rhombus" is true.Rate this question:
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- 36.
What is the volume of the cone below?
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4021.24
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4330.87
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1340.41
Correct Answer
A. 1340.41 -
- 37.
What is the sum of the measures, in degrees, of the interior angles of a 16-sided polygon?
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360°
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2520°
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2880°
Correct Answer
A. 2520°Explanation
The sum of the measures of the interior angles of a polygon can be found using the formula (n-2) * 180, where n is the number of sides of the polygon. In this case, the polygon has 16 sides, so the sum of the interior angles would be (16-2) * 180 = 14 * 180 = 2520°.Rate this question:
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- 38.
What is the area of the trapezoid below?
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126
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252
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108
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144
Correct Answer
A. 126 -
- 39.
What is the distance between the two points graphed below?
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4.53
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1.41
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7.62
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3.16
Correct Answer
A. 7.62Explanation
The distance between the two points graphed below is 7.62.Rate this question:
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- 40.
What is the distance between the origin and the point (5, -2)?
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5.39
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7
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2.65
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1.73
Correct Answer
A. 5.39Explanation
The distance between two points in a coordinate plane can be found using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of [(x2 - x1)^2 + (y2 - y1)^2]. In this case, the origin is the point (0, 0) and the given point is (5, -2). Plugging these values into the distance formula, we get the square root of [(5 - 0)^2 + (-2 - 0)^2], which simplifies to the square root of (25 + 4), or the square root of 29. Evaluating this expression gives us approximately 5.39, which is the correct answer.Rate this question:
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- 41.
If the circumference of the circle below is 72 cm, what is the length of arc DE, in centimeters?
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21.6 cm
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864 cm
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6 cm
Correct Answer
A. 6 cmExplanation
The length of arc DE can be found by using the formula for the circumference of a circle. The formula is C = 2πr, where C is the circumference and r is the radius of the circle. Since the circumference is given as 72 cm, we can solve for the radius by dividing the circumference by 2π. This gives us a radius of 11.46 cm. The length of arc DE is then equal to the circumference of a circle with a radius of 11.46 cm and an angle of 30 degrees. Using the formula for the length of an arc, which is L = (θ/360) * 2πr, where L is the length of the arc and θ is the angle in degrees, we can calculate the length of arc DE as (30/360) * 2π * 11.46 cm, which simplifies to 6 cm.Rate this question:
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- 42.
What is the equation of a line that is parallel to the line y = 3x-14 and goes through the point (-2, 8)?
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Y - 8 = 3(x + 2)
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Y = 3x + 2
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Y - 8 = 3x
Correct Answer
A. Y - 8 = 3(x + 2)Explanation
The equation of a line that is parallel to y = 3x-14 will have the same slope of 3. Using the point-slope form of a linear equation, we can substitute the given point (-2, 8) into the equation y - 8 = 3(x + 2). This equation represents a line that is parallel to the given line and passes through the point (-2, 8).Rate this question:
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- 43.
What is the slope of a line parallel to the line with equation y = -3/4x + 5
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4
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3/4
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-3/4
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5
Correct Answer
A. -3/4Explanation
The slope of a line is the coefficient of x in its equation. In this case, the line has the equation y = -3/4x + 5. The coefficient of x is -3/4, so the slope of the line is -3/4. A line parallel to this line would have the same slope, so the correct answer is -3/4.Rate this question:
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- 44.
Arc CDA is the major arc in the circle below.
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True
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False
Correct Answer
A. TrueExplanation
The correct answer is True because an arc is considered a major arc if its measure is greater than 180 degrees. In this case, arc CDA is shown to be larger than a semicircle, which means its measure is greater than 180 degrees, making it a major arc.Rate this question:
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- 45.
The endpoints of a line segment graphed on a Cartesian coordinate system are (4, 1) and (-2, -4). What are the coordinates of the midpoint of the segment?
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(3, 2,5)
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(2, -3)
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(1, -1.5)
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(6, 5)
Correct Answer
A. (1, -1.5)Explanation
The midpoint of a line segment can be found by averaging the x-coordinates and the y-coordinates of the endpoints. In this case, the x-coordinate of the midpoint is (4 + -2) / 2 = 1, and the y-coordinate is (1 + -4) / 2 = -1.5. Therefore, the coordinates of the midpoint are (1, -1.5).Rate this question:
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- 46.
Volume is measured in square units
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True
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False
Correct Answer
A. FalseExplanation
The statement is incorrect. Volume is not measured in square units, but in cubic units. Square units are used to measure area, not volume.Rate this question:
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- 47.
What is the area of the rhombus below?
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140
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560
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96
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280
Correct Answer
A. 280Explanation
The area of a rhombus can be calculated by multiplying the lengths of its diagonals and dividing the result by 2. Since the question does not provide the lengths of the diagonals, it is not possible to determine the area of the rhombus. Therefore, an explanation for the correct answer cannot be provided.Rate this question:
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- 48.
What is the measure of arc FD in the circle below?
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180°
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32°
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128°
Correct Answer
A. 128°Explanation
The measure of arc FD in the circle is 128°. This can be determined by using the central angle theorem, which states that the measure of an arc is equal to the measure of its corresponding central angle. Since FD is an arc that intercepts the central angle FOD, which measures 128°, the measure of arc FD is also 128°.Rate this question:
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- 49.
What is the measure of the secant-secant angle XYZ in the circle below?
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150°
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75°
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76°
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38°
Correct Answer
A. 38°Explanation
The measure of the secant-secant angle XYZ in the circle is 38°. This can be determined by using the properties of angles in a circle. The angle formed by two secants intersecting outside the circle is half the difference between the intercepted arcs. In this case, the intercepted arc is 76° (given in the answer choices), so the angle XYZ is half of 76° which is 38°.Rate this question:
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.bmp "What is x in the parallelogram below?")
.bmp "What is the circumference of the circle below?")
.bmp "What is the area of the circle below?")
.bmp "If arc AB and CD are congruent and angle AOB is 101°, what is the measure of angle COD?")
.bmp "What is the measure of arc XZ? (the small arc)")
.bmp "What is the volume of the cone below?")
.bmp "What is the distance between the two points graphed below?")
.bmp "If the circumference of the circle below is 72 cm, what is the length of arc DE, in centimeters?")
.bmp "Arc CDA is the major arc in the circle below.")
.bmp "What is the measure of arc FD in the circle below?")
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Mar 20, 2023Quiz Edited by
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Jun 07, 2011Quiz Created by
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