Chapter 10 Part 1 Unit TEST: Circles Answers

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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°
42
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Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Question illustration
A
10
Option A
B
16
Option B
C
356
Option C
D
676
Option D
43

Circle O has a circumference of 36π cm.

Question illustration
A
6 cm
B
18 cm
C
36 cm
D
72 cm
44

Line segment KL is tangent to circle J at point K.

Question illustration
A
8 units
B
10 units
C
12 units
D
16 units
45

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
46

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Question illustration
A
1.8 meters
B
3.7 meters
C
15.2 meters
D
18.8 meters
47

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°
48

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
49

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
50

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
51

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°
52

Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.

Question illustration
A
134°
B
150°
C
209°
D
210°
53

In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
24°
B
33°
C
48°
D
66°
54

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°
55

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°
56

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
57

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
58

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.
59

Given: Circle M with inscribed and congruent radii JM and MLProve: m =

Question illustration
A
reflexive property
B
substitution property
C
base angles theorem
D
second corollary to the inscribed angles theorem
60

How are the semicircle and the diameter of a circle related?

A
The length of the diameter and the length of semicircle are the same.
B
The degree measure of the diameter and the degree measure of the semicircle are the same.
C
The angle measure of the diameter is twice the angle measure of the semicircle.
D
The angle measure of the diameter is half the angle measure of the semicircle.

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