Unit 8 Test Answers

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Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees.

Question illustration
A
26°
B
52°
C
104°
D
128°
2
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Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

Question illustration
A
12
Option A
B
24
Option B
C
120
Option C
D
144
Option D
3

Segments RT and SU are diameters of circle O.

Question illustration
A
258°
B
266°
C
274°
D
282°
4

Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees.

Question illustration
A
38°
B
76°
C
90°
D
152°
5

Circle D is shown with the measures of the minor arcs.

Question illustration
A
EH and EF
B
GH and FE
C
FG and EH
D
EF and GF
6

In circle O, and are diameters. The measure of arc AB is 55° and the measure of arc CD is 25°.

Question illustration
A
100°
B
125°
C
235°
D
280°
7

In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
24°
B
33°
C
48°
D
66°
8

Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80 degrees.

Question illustration
A
50°
B
55°
C
125°
D
250°
9

A circle is shown. Secants D E and A E intersect at point E outside of the circle. Secant D E intersects the circle at point C and secant A E intersects the circle at point B. The length of D C is 1, the length of C E is x + 4, the length of A B is 11, and the length of B E is x + 1.

Question illustration
A
2
B
3
C
6
D
7
10

A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.

Question illustration
A
12(a + 12) = 102
B
10 + 12 = a2
C
10(a + 10) = 122
D
10(12) = a2
11

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

A
132 feet
B
659 feet
C
1,978 feet
D
3,956 feet
12

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

Question illustration
A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
13

In circle P, diameter QS measures 20 centimeters.

Question illustration
A
9.9 centimeters
B
19.9 centimeters
C
21.5 centimeters
D
43.0 centimeters
14

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.

Question illustration
A
39°
B
41°
C
78°
D
82°
15

Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.

Question illustration
A
35°
B
70°
C
75°
D
140°
16

Line segments XY and ZY are tangent to circle O.

Question illustration
A
an equilateral triangle
B
an isosceles triangle
C
a scalene triangle
D
a right triangle
17

Which is true regarding secants and chords?

A
Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once.
B
Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice.
C
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
D
Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.
18

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
19

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
20

Which circle has a radius that measures 10 units?

A
Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10.
Option A
B
Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.
Option B
C
Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.
Option C
D
Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Option D

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