AnswersCR CCSS Math 2 S2 M2960OXPerformance Task: Circle Constructions

Performance Task: Circle Constructions — Unit test Answers

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21
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Points A, B, C, and D lie on circle M. Line segment BD is a diameter. The measure of arc CD equals the measure of arc DA.

Question illustration
A
22.5°
B
30.0°
C
45.0°
D
67.5°
22
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UV and RV are secant segments that intersect at point V.

Question illustration
A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units
23

In circle O, and are diameters. Arc ED measures 17°.

Question illustration
A
107°
B
180°
C
253°
D
270°
24

Circle O has a circumference of approximately 28.3 cm.

Question illustration
A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
25

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.
26

The chords intersect at point U.

Question illustration
A
2
B
4
C
6
D
8
27

Circle H is shown. Line segments G H and J H are radii. The length of G H is 20. Angle G H J is 162 degrees.

Question illustration
A
20
Option A
B
40
Option B
C
180
Option C
D
400
Option D
28

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

A
(−6,5)
B
(−5,6)
C
(5,−6)
D
(6,−5)
29

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH.m∠DFE = 80°. What is the measure of arc ?°

Answer not available
30

Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees.

Question illustration
A
34°
B
45°
C
68°
D
73°
31

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.

Question illustration
A
32
Option A
B
85
Option B
C
96
Option C
D
256
Option D
32

Triangle BCD is isosceles and BC ≅ BD.

Question illustration
A
100°
B
120°
C
130°
D
160°
33

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
34

Given: Circle O; intercepts ; D intercepts Prove:

Question illustration
A
inscribed angles theorem
B
third corollary to the inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D
35

Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

Question illustration
A
82°
B
100°
C
106°
D
118°
36

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

A
8
B
9
C
10
D
12
37

Arc QVT measures 156°.

Question illustration
A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
38

Which circle has a central angle that measures 40°?

A
Circle U is shown. Line segment Z X is a diameter. Line segment V X is a secant. Angle V X Z is 40 degrees.
Option A
B
Circle U is shown. Line segments U V and U Z are radii. Angle V U Z is 40 degrees.
Option B
C
Circle U is shown. Line segment Z V is a secant. Line segment Z X is a tangent. Angle X Z V is 40 degrees.
Option C
D
Circle U is shown. Line segments X V and X Z are secants. Angle V X Z is 40 degrees.
Option D
39

Consider circle C with angle ACB measuring radians.

Question illustration
A
6 inches
B
12 inches
C
18 inches
D
24 inches
40

In circle O, AD and BE are diameters.

Question illustration
A
106°
B
132°
C
138°
D
164°

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