AnswersCR CCSS Math 2 S2 M2960OXSecants, Tangents, and Angles (Sec 10-5)

Angle Relationships Answers

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1
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Points N and R both lie on circle O. Line segment RQ is tangent to the circle at point R.

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1
10.0 units
1
15.0 units
1
18.7 units
2
23.7 units
2
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Which statements about the arcs and angles are true? Select three options.

A
∠EFD ≅ ∠EGD
B
∠EGD ≅ ∠ECD
C
Arc E D is-congruent-to arc F D
Option C
D
m = 60°
Option D
E
m = 120°
Option E
3

Major arc JL measures 300°.

Question illustration
r
right
o
obtuse
s
scalene
e
equilateral
4

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.

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4
45°
5
50°
9
90°
9
95°
5

Points N, P, and R all lie on circle O. Arc PR measures 120°.

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A
Angle RNQ is equal in measure to arc PR.
A
Angle RNQ is half the measure of arc PR.
A
Angle RNQ is twice the measure of arc PR.
A
Angle RNQ is four times the measure of arc PR.
6

Angle BCD is a circumscribed angle of circle A.

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1
10 units
1
12 units
1
14 units
1
16 units
7

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

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5
54°
7
72°
1
108°
1
126°
8

Angle X is a circumscribed angle of circle V.

Question illustration
A
square
B
parallelogram
C
quadrilateral
D
trapezoid
9

Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°.

Question illustration
A
40°
B
50°
C
80°
D
100°
10

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°
11

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees.

Question illustration
A
140°
B
150°
C
160°
D
170°
12

The measure of minor arc JL is 60°.

Question illustration
A
110°
B
120°
C
130°
D
140°
13

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

Question illustration
A
40°
B
50°
C
80°
D
90°
14

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
15

Points E, F, and D are located on circle C.

Question illustration
A
34°
B
68°
C
112°
D
132°
16

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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