AnswersVolchWCA 3230 Geometry 4th Nine Weeks 25-26Introduction to Circles

Tangents to a Circle Answers

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1
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Analyze the diagram below and complete the instructions that follow.In the diagram, is tangent to , AB = 4 inches, and AD = 2 inches. Find the radius of the circle.

Question illustration
A
3 inches
B
2 inches
C
5 inches
D
no solution
2
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Analyze the diagram below and answer the question that follows.Paul observes that and concludes that and must be tangent to the circle. What is wrong with Paul's reasoning?

Question illustration
A
Nothing; Paul is correct.
B
The radius of the circle is unknown, so and can't be tangent to the circle.
C
There is no indication that and are perpendicular to the radii at the points of intersection with the circle.
D
The lengths of and aren't given, so Paul can't conclude they are congruent.
3

Analyze the diagram below and complete the instructions that follow.In the diagram, AB = 3 in. and BD = 5 in. If is tangent to . Points A, B, and C are collinear and A rests on the edge of the circle. Find AD.

Question illustration
A
4 in.
B
in.
C
5 in.
D
in.
4

Analyze the diagram below and complete the instructions that follow.In the diagram above, the segment x units long is tangent to the circle. Solve for x. A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

Analyze the diagram below and complete the instructions that follow. is tangent to at point P. Find .

Question illustration
A
17°
B
27°
C
63°
D
73°
6

Analyze the diagram below and complete the instructions that follow.Identify two common internal tangents.

Question illustration
A
and
B
and
C
and
D
and
7

Analyze the diagram below and complete the instructions that follow.The circle is inscribed in the triangle. Find the length of .

Question illustration
A
14 cm
B
17 cm
C
23 cm
D
27 cm
8

Analyze the diagram below and answer the question that follows.How many tangents that are common to both circles can be drawn?

Question illustration
A
1
B
2
C
3
D
4
9

Analyze the diagram below and complete the instructions that follow. is tangent to at M. Find .

Question illustration
A
24°
B
41°
C
66°
D
114°
10

Two segments tangent to a circle from the same external point are __________. A. chords B. parallel C. perpendicular D. congruent Please select the best answer from the choices provided

A
A
B
A
C
B
D
B
E
C
F
C
G
D
H
D

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Tangents to a Circle Answers — VolchWCA 3230…