AnswersEAP-Geometry B CRClassifying Quadrilaterals

Angle Relationships Answers

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Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded.

Question illustration
A
9
Option A
B
27
Option B
C
81
Option C
D
162
Option D
2
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Which statements are true regarding the area of circle D? Select two options.

A
The area of the circle depends on the square of the radius.
B
The area of circle D is 36.
Option B
C
The area of circle D is 324
Option C
D
The area of the circle depends on the square of pi.
E
The area of the circle depends on the central angle.
3

Which statements are true about circle Q? Select three options.

A
The ratio of the measure of central angle PQR to the measure of the entire circle is .
Option A
B
The area of the shaded sector is 4 units2.
C
The area of the shaded sector depends on the length of the radius.
D
The area of the shaded sector depends on the area of the circle.
E
The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.
4

The area of circle Z is 64 ft2.

Question illustration
A
r = 4 ft
B
r = 8 ft
C
r = 16 ft
D
r = 32 ft
5

Circles C and D overlap. The distance from point C to point D is 7 centimeters.

Question illustration
A
7
Option A
B
14
Option B
C
49
Option C
D
98
Option D
6

Circle G is shown. Line segment F G is a radius with length 3.

Question illustration
A
6
Option A
B
9
Option B
C
12
Option C
D
18
Option D
7

Circle X and Y are connected at one side. Larger circle C surrounds both circles. Line segment W Z is the diameter of circle C. The line segment goes through all points of the other circles. The length of W X is 8 and the length of Y Z is 10.

Question illustration
A
81
Option A
B
164
Option B
C
324
Option C
D
1296
Option D
8

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

Question illustration
A
4
Option A
B
8
Option B
C
16
Option C
D
20
Option D
9

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

A
7
Option A
B
14
Option B
C
28
Option C
D
49
Option D
10

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula .

Question illustration
A
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
B
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
C
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
D
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
11

Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.

Question illustration
A
40°
B
50°
C
80°
D
90°
12

Points A, B, C, and D lie on circle M. Line segment BD is a diameter.

Question illustration
A
45.0°
B
67.5°
C
112.5°
D
135.0°
13

Major arc JL measures 300°.

Question illustration
A
right
B
obtuse
C
scalene
D
equilateral
14

Angle X is a circumscribed angle of circle V.

Question illustration
A
square
B
parallelogram
C
quadrilateral
D
trapezoid
15

Angle BCD is a circumscribed angle of circle A.

Question illustration
A
10 units
B
12 units
C
14 units
D
16 units
16

Points N and R both lie on circle O. Line segment RQ is tangent to the circle at point R.

Question illustration
A
10.0 units
B
15.0 units
C
18.7 units
D
23.7 units
17

Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle.

Question illustration
A
45°
B
50°
C
90°
D
95°
18

Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length.

Question illustration
A
20 units
B
24 units
C
26 units
D
30 units
19

Points E, F, and D are located on circle C. The measure of arc ED is 108°.

Question illustration
A
54°
B
72°
C
108°
D
126°
20

Circle C is shown. Line segments E C and C D are radii. Lines are drawn from points E and D to point F on the other side of the circle. Arc E D measures 95 degrees.

Question illustration
A
37.5°
B
45°
C
47.5°
D
55°

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