AnswersCR CCSS Math 2 S2 M2960OXArea of a Circle and a Sector

Angle Relationships Answers

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1
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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°
2
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Angle X is a circumscribed angle of circle V.

Question illustration
A
square
B
parallelogram
C
quadrilateral
D
trapezoid
3

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

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

Question illustration
A
45°
B
50°
C
90°
D
95°
5

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°
6

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

Question illustration
A
Angle RNQ is equal in measure to arc PR.
B
Angle RNQ is half the measure of arc PR.
C
Angle RNQ is twice the measure of arc PR.
D
Angle RNQ is four times the measure of arc PR.
7

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
8

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
9

The measure of minor arc JL is 60°.

Question illustration
A
110°
B
120°
C
130°
D
140°
10

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

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