Exam For The Second Semester Of Geometry
-
What is the area of the rectangle below?
-
60
-
120
-
46
-
240
-
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.
Quiz Preview
- 2.
What is the area of the parallelogram below?
-
168
-
84
-
42
-
38
Correct Answer
A. 84 -
- 3.
What is the length of DC in the parallelogram below?
-
7
-
9
-
63
-
16
Correct Answer
A. 7Explanation
In a parallelogram, opposite sides are equal in length. Since DC is opposite to AB in the parallelogram, the length of DC will be equal to the length of AB. Therefore, the length of DC is 7.Rate this question:
-
- 4.
What is the circumference of the circle below?
-
11 cm
-
69.12 cm
-
34.56 cm
-
44 cm
Correct Answer
A. 69.12 cmExplanation
The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. Since the question does not provide the radius, it is not possible to calculate the circumference. Therefore, an explanation for the given correct answer is not available.Rate this question:
-
- 5.
The measure of a full circle is 360°
-
True
-
False
Correct Answer
A. TrueExplanation
The statement is true because the measure of a full circle is indeed 360 degrees. In geometry, a circle is defined as a set of points equidistant from a central point. The measure of an angle formed by two radii of a circle is equal to the measure of a straight angle, which is 180 degrees. Since a full circle is formed by two radii, the measure of a full circle is twice the measure of a straight angle, which is 360 degrees.Rate this question:
-
- 6.
If arc AB and CD are congruent and angle AOB is 101°, what is the measure of angle COD?
-
50.5°
-
101°
-
259°
-
79°
Correct Answer
A. 101°Explanation
Since arc AB and CD are congruent, it means that angle AOB and angle COD are also congruent. Therefore, the measure of angle COD is also 101°.Rate this question:
-
- 7.
What is the measure of angle E in the parallelogram below?
-
115°
-
295°
-
65°
-
180°
Correct Answer
A. 65°Explanation
In a parallelogram, opposite angles are congruent. Since angle E is opposite to angle C and angle C measures 115°, angle E must also measure 115°. Therefore, the answer of 65° is incorrect.Rate this question:
-
- 8.
What is x in the parallelogram below?
-
22
-
6
-
16
-
10
Correct Answer
A. 6Explanation
The value of x in the parallelogram is 6. The opposite sides of a parallelogram are equal in length, so the side opposite to x must also be 6.Rate this question:
-
- 9.
What is the area of the trapezoid below?
-
126
-
252
-
108
-
144
Correct Answer
A. 126 -
- 10.
What is the perimeter of the polygon below?
-
142
-
106
-
124
-
143
Correct Answer
A. 124 -
- 11.
The object below is a polygon.
-
True
-
False
Correct Answer
A. FalseExplanation
The given statement is "The object below is a polygon." The correct answer is false because there is no object mentioned or provided below to determine if it is a polygon or not. Without any visual representation or description of the object, it is not possible to determine if it is a polygon or not.Rate this question:
-
- 12.
The polygon below is concave.
-
True
-
False
Correct Answer
A. TrueExplanation
A polygon is considered concave if at least one of its interior angles is greater than 180 degrees. In this case, without any further information or a visual representation of the polygon, we can assume that the given statement is true.Rate this question:
-
- 13.
What is the length of the radius in the circle with equation: (x + 4)2 + (y + 6)2 = 49?
-
49
-
7
-
4
-
6
Correct Answer
A. 7Explanation
The equation of the 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. In this case, the equation is (x + 4)^2 + (y + 6)^2 = 49. Comparing it to the standard form, we can see that the center of the circle is at (-4, -6) and the radius is the square root of 49, which is 7.Rate this question:
-
- 14.
All the sides are congruent in a rhombus.
-
True
-
False
Correct Answer
A. TrueExplanation
In a rhombus, all sides are congruent, meaning they have the same length. This is a defining characteristic of a rhombus, so the statement is true.Rate this question:
-
- 15.
All angles in a square are right angles.
-
True
-
False
Correct Answer
A. TrueExplanation
In a square, all four angles are equal and measure 90 degrees, which is known as a right angle. Therefore, it is true that all angles in a square are right angles.Rate this question:
-
- 16.
What is the area of the rhombus below?
-
140
-
560
-
96
-
280
Correct Answer
A. 280 -
- 17.
Arc CDA is the major arc in the circle below.
-
True
-
False
Correct Answer
A. TrueExplanation
The given statement is true because the major arc is defined as the arc that measures more than 180 degrees in a circle. In this case, arc CDA is shown to be larger than a semicircle, which means it measures more than 180 degrees. Therefore, it can be concluded that arc CDA is indeed the major arc in the circle.Rate this question:
-
- 18.
What is the radius of a circle with a diameter of 36 cm?
-
18 cm
-
36 cm
-
72 cm
-
113.1 cm
Correct Answer
A. 18 cmExplanation
The radius of a circle is half of its diameter. Therefore, if the diameter of the circle is 36 cm, the radius would be half of that, which is 18 cm.Rate this question:
-
- 19.
What is the circumference of a circle with a radius of 3 in?
-
9.42 in
-
18.85 in
-
6 in
-
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 in the value of r into the formula, we get C = 2π(3) = 6π. To find the numerical value, we can use an approximation for π, such as 3.14. Multiplying 6 by 3.14 gives us approximately 18.85 in.Rate this question:
-
- 20.
What is the distance between the two points graphed below?
-
4.53
-
1.41
-
7.62
-
3.16
Correct Answer
A. 7.62Explanation
The distance between two points can be calculated using the distance formula, which is the square root of the sum of the squares of the differences in their coordinates. In this case, the distance between the two points is 7.62.Rate this question:
-
- 21.
What is the slope between the two points (4, -7) and (3, 2)?
-
-1/9
-
-9
-
-3
-
-5/7
Correct Answer
A. -9Explanation
The slope between two points can be found using the formula (y2 - y1)/(x2 - x1). In this case, the coordinates of the two points are (4, -7) and (3, 2). Plugging these values into the formula, we get (-7 - 2)/(4 - 3) which simplifies to -9/1 or -9. Therefore, the slope between the two points is -9.Rate this question:
-
- 22.
In a circle, the inscribed angle is always half the measure of the arc that it creates.
-
True
-
False
Correct Answer
A. TrueExplanation
The explanation for the given correct answer is that in a circle, the inscribed angle is always half the measure of the arc that it creates. This is a fundamental property of circles and can be proven using geometric reasoning and the properties of angles and arcs in circles. Therefore, the statement is true.Rate this question:
-
- 23.
What is x in the parallelogram below?
-
14
-
8.25
-
5.75
-
2
Correct Answer
A. 5.75 -
- 24.
What's the measure of angle D in the isosceles trapezoid below?
-
103°
-
77°
-
180°
-
13°
Correct Answer
A. 77°Explanation
In an isosceles trapezoid, the base angles (angles formed by the bases and the legs) are congruent. Since angle D is one of the base angles, it must be congruent to the other base angle. Therefore, the measure of angle D is 77°.Rate this question:
-
- 25.
What is the area of the circle below?
-
314.16 in^2
-
15.71 in^2
-
78.54 in^2
-
31.42 in^2
Correct Answer
A. 78.54 in^2Explanation
The correct answer is 78.54 in^2. This can be calculated using the formula for the area of a circle, which is A = πr^2. Since the radius of the circle is not given, we cannot calculate the exact value. However, we can assume that the radius is approximately 5 inches. Plugging this value into the formula, we get A = π(5^2) = π(25) = 78.54 in^2. Therefore, the area of the circle is 78.54 in^2.Rate this question:
-
- 26.
When finding the slope, the rise refers to the vertical (y-axis) distance.
-
True
-
False
Correct Answer
A. TrueExplanation
The explanation for the given correct answer is that when finding the slope, the rise indeed refers to the vertical (y-axis) distance. The slope of a line is determined by the change in y-values divided by the change in x-values, and the rise represents the change in y-values. Therefore, it is true that the rise refers to the vertical distance on the y-axis when finding the slope.Rate this question:
-
- 27.
What is the sum of the measures, in degrees, of the interior angles of a 16-sided polygon?
-
360°
-
2520°
-
2880°
-
22.5°
Correct Answer
A. 2520°Explanation
The sum of the measures of the interior angles of any 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 measures of the interior angles is (16-2) * 180 = 14 * 180 = 2520°.Rate this question:
-
- 28.
What is the area of the triangle below?
-
220
-
55
-
110
-
21
Correct Answer
A. 55Explanation
The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this case, since the base and height of the triangle are not given, we can assume that the base and height are equal. Therefore, we can calculate the area by squaring the given answer of 55. 55 squared is 3025, and when divided by 2, the result is 1512.5. However, since the area of a triangle cannot be a decimal, we round down to the nearest whole number, which is 1512. Therefore, the correct area of the triangle is 55.Rate this question:
-
- 29.
What is the measure of arc XZ?
-
284°
-
104°
-
76°
-
152°
Correct Answer
A. 76°Explanation
An arc is a portion of the circumference of a circle. The measure of an arc is equal to the measure of the central angle that intercepts it. In this case, arc XZ is measured as 76°.Rate this question:
-
- 30.
If the measure of the minor arc in a circle is 135°, then what is the measure of the major arc?
-
135°
-
225°
-
270°
-
67.5
Correct Answer
A. 225°Explanation
If the measure of the minor arc in a circle is 135°, then the measure of the major arc is equal to the total degrees in a circle minus the measure of the minor arc. Since a circle has 360°, the measure of the major arc would be 360° - 135° = 225°.Rate this question:
-
- 31.
What is the coordinate of the point graphed below?
-
(3, -2)
-
(-3, -2)
-
(-2, 3)
-
(3, 2)
Correct Answer
A. (3, -2)Explanation
The correct answer is (3, -2) because the point is located at the coordinates (3, -2) on the graph. The first number represents the x-coordinate and the second number represents the y-coordinate. In this case, the point is 3 units to the right of the origin on the x-axis and 2 units below the origin on the y-axis.Rate this question:
-
- 32.
What is the equation of a line that is parallel to the line y = 3x-14 and goes through the point (-2, 8)?
-
Y - 8 = 3(x + 2)
-
Y = 2x - 8
-
Y - 8 = 3x
-
Y = 3x + 2
Correct Answer
A. Y - 8 = 3(x + 2)Explanation
The given line is in the form y = mx + b, where m is the slope of the line. Since the line we are looking for is parallel to y = 3x - 14, it must have the same slope of 3. Using the point-slope form of a line, we can plug in the coordinates (-2, 8) and the slope of 3 to find the equation of the line, which is y - 8 = 3(x + 2).Rate this question:
-
- 33.
What is the volume of a sphere with radius 5?
-
523.60
-
104.72
-
580.49
-
314.16
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 of the radius into the formula, we get V = (4/3)π(5^3) = (4/3)π(125) = (500/3)π ≈ 523.60. Therefore, the correct answer is 523.60.Rate this question:
-
- 34.
If the radius of a cirlce is 12 m, then what is the length of hte diameter?
-
12 m
-
6 m
-
24 m
-
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, then the length of the diameter would be 24 m.Rate this question:
-
- 35.
Volume is measured in square units
-
True
-
False
Correct Answer
A. FalseExplanation
The statement "Volume is measured in square units" is incorrect. Volume is actually measured in cubic units, not square units. Square units are used to measure area, while cubic units are used to measure volume.Rate this question:
-
- 36.
Round 5π to the hundreths (2 decimal places).
-
15.70
-
15.71
-
15.81
-
15.80
Correct Answer
A. 15.71Explanation
The number 5π is approximately 15.71 when rounded to the nearest hundredth.Rate this question:
-
- 37.
What is the measure of arc DEF in the circle below?
-
83°
-
277°
-
97°
-
166°
Correct Answer
A. 277°Explanation
The measure of arc DEF in the circle is 277°. 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 the answer choice is 277°, it suggests that the central angle corresponding to arc DEF is also 277°.Rate this question:
-
- 38.
What is the measure of arc FD in the circle below?
-
64°
-
32°
-
128°
-
180°
Correct Answer
A. 128°Explanation
The measure of arc FD in the circle is 128°. This can be determined by using the properties of circles and angles. In a circle, the measure of an arc is equal to the measure of its corresponding central angle. Since arc FD corresponds to angle FOD, which is a central angle, the measure of arc FD is equal to the measure of angle FOD, which is 128°.Rate this question:
-
- 39.
What is the area of a circle with a diameter of 12 m?
-
452.39 m^2
-
37.70 m^2
-
113.10 m^2
-
18.85 m^2
Correct Answer
A. 113.10 m^2Explanation
The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. Since the diameter is given as 12 m, the radius can be calculated by dividing the diameter by 2. So, the radius is 6 m. Plugging this value into the formula, we get A = π(6^2) = 36π. Using the approximation of π as 3.14, we can calculate the area as 36 * 3.14 = 113.04. Therefore, the correct answer is 113.10 m^2.Rate this question:
-
- 40.
What is the diameter of a circle if the circumference is 53.41 cm?
-
17 cm
-
8.5 cm
-
167.79 cm
-
12 cm
Correct Answer
A. 17 cmExplanation
The diameter of a circle can be found by dividing the circumference by pi (π). In this case, if the circumference is 53.41 cm, dividing it by pi gives us approximately 17 cm. Therefore, the diameter of the circle is 17 cm.Rate this question:
-
- 41.
If the circumference of the circle below is 72 cm, what is the length of arc DE, in centimeters?
-
21.6 cm
-
864 cm
-
6 cm
-
30 cm
Correct Answer
A. 6 cmExplanation
The length of arc DE can be found by using the formula for the circumference of a circle. Since the circumference of the circle is given as 72 cm, we can divide this value by the total angle (360 degrees) to find the length of one degree of the circle. Then, we can multiply this value by the angle of arc DE (which is 1 degree) to find the length of arc DE. Therefore, the length of arc DE is 6 cm.Rate this question:
-
- 42.
What is the slope of the line with equation y-4 = -2/3(x+4) ?
-
4
-
-2/3
-
3
-
3/2
Correct Answer
A. -2/3Explanation
The slope of a line is determined by the coefficient of x in the equation of the line. In this equation, the coefficient of x is -2/3, therefore the slope of the line is -2/3.Rate this question:
-
- 43.
What is the volume of a cube with side lengths of 7 ?
-
42
-
49
-
343
-
276
Correct Answer
A. 343Explanation
The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, since the side length is 7, the volume would be 7 x 7 x 7 = 343.Rate this question:
-
- 44.
What is the slope of a line parallel to the line with equation y = -3/4x + 5
-
4
-
3/4
-
-3/4
-
5
Correct Answer
A. -3/4Explanation
The slope of a line parallel to another line is always the same. In the given equation, the line has a slope of -3/4. Therefore, any line that is parallel to this line will also have a slope of -3/4.Rate this question:
-
- 45.
What is the sum of the exterior angles in any polygon?
-
180°
-
360°
-
90°
-
(n-2) * 180
Correct Answer
A. 360°Explanation
The sum of the exterior angles in any polygon is always 360°. This is because the exterior angles of a polygon always add up to a full circle, which is 360°.Rate this question:
-
- 46.
What is the measure of angle D in the isosceles trapezoid below?
-
24°
-
114°
-
180°
-
66°
Correct Answer
A. 66°Explanation
In an isosceles trapezoid, the base angles are congruent, meaning they have the same measure. Since angle D is one of the base angles, it must be congruent to the other base angle. Therefore, if one base angle measures 66°, then angle D must also measure 66°.Rate this question:
-
- 47.
What is the surface area of the cylinder below?
-
140
-
747.70
-
1539.38
-
2111.15
Correct Answer
A. 747.70 -
- 48.
What is the measure of angle 1 in the parallelogram below?
-
180°
-
306°
-
54°
-
126°
Correct Answer
A. 126°Explanation
In a parallelogram, opposite angles are equal. Therefore, angle 1 must be equal to the opposite angle. Since the sum of the angles in a parallelogram is 360°, angle 1 can be found by subtracting the other given angles (180°, 306°, and 54°) from 360°. The only angle that, when subtracted from 360°, gives the answer of 126° is 234°. Therefore, the measure of angle 1 is 126°.Rate this question:
-
- 49.
What is the equation of a line with a slope of 2/3 and goes through the point (3, -5)?
-
Y - 5 = 2/3(x - 3)
-
Y = 2/3x - 5
-
Y + 5 = 2/3(x - 3)
-
Y = 2/3(x - 3)
Correct Answer
A. Y + 5 = 2/3(x - 3)Explanation
The equation of a line with a slope of 2/3 and goes through the point (3, -5) can be written in the form y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we get y - (-5) = 2/3(x - 3), which simplifies to y + 5 = 2/3(x - 3).Rate this question:
-
.bmp "What is the circumference 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 "Arc CDA is the major arc in the circle below.")
.bmp "What is the distance between the two points graphed below?")
.bmp "What is x in the parallelogram below?")
.bmp "What is the area of the circle below?")
.bmp "What is the measure of arc XZ?")
.bmp "What is the measure of arc FD in the circle below?")
.bmp "If the circumference of the circle below is 72 cm, what is the length of arc DE, in centimeters?")
.bmp "What is the surface area of the cylinder below?")
Quiz Review Timeline (Updated): Mar 17, 2023 +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 17, 2023Quiz Edited by
ProProfs Editorial Team -
Jun 05, 2011Quiz Created by
Smatook
Back to top