AnswersPA-Geometry B-CRInscribed Angles

Inscribed Angles — Unit test Answers

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1
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Line EF is tangent to circle G at point A.

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A
90°
B
95°
C
190°
D
195°
2
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Angle K measures 67º and angle L measures 119°.

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A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
3

Triangle BCD is isosceles and BC ≅ BD.

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A
100°
B
120°
C
130°
D
160°
4

is tangent to circle P at point Q.

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A
37°
B
53°
C
90°
D
97°
5

Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.

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A
106°
B
108°
C
148°
D
212°
6

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
7

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.
9

In circle O, AD and BE are diameters.

Question illustration
A
106°
B
132°
C
138°
D
164°
10

In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

Question illustration
A
15°
B
75°
C
105°
D
165°
11

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
12

Arc QVT measures 156°.

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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°.
13

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

Question illustration
A
107°
B
180°
C
253°
D
270°
14

In circle O, MP is a diameter.

Question illustration
A
139°
B
145°
C
151°
D
174°
15

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

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