Tangents to a Circle

Question 1

Analyze the diagram below and complete the instructions that follow.In the diagram, AB = 15 in., BC = 12 in., and CD = 13 in. If the circle is inscribed in the quadrilateral, find AD. A. 12 in. B. 13 in. C. 14 in. D. 16 in. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 2

Analyze the diagram below and complete the instructions that follow.In the diagram, is tangent to circle B at point C. If AB = 5 cm, and BD = 13 cm, find AD. Round the answer to the nearest tenth. A. 13.9 cm B. 15.6 cm C. 16.4 cm D. 17.0 cm Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 3

Analyze the diagram below and answer the question that follows.How many tangents that are common to both circles can be drawn? A. 0 B. 1 C. 2 D. 3 Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 4

Analyze the diagram below and answer the question that follows.Which of the following statements is not true? A. B. C. is tangent to at pointJ. D. is tangent to at pointI. Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 5

Analyze the diagram below and complete the instructions that follow.The circle is inscribed in the triangle. Find the perimeter of the triangle. A. 56 in. B. 60 in. C. 64 in. D. 66 in. Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 6

Analyze the diagram below and complete the instructions that follow.Solve for x. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 7

lies in the same plane as , which has a radius of 6 mm. At how many points will intersect if and ? A. 2 B. 1 C. 0 D. There is not enough information to determine. Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 8

A line tangent to a circle is perpendicular to the __________ of the circle at the point of tangency. A. radius B. circumference C. chord D. center Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 9

Determine the missing statement and reason in the following proof. Given: is tangent to at point ; is tangent to at point Prove: Statements Reasons 1. is tangent to at B 1. Given 2. is tangent to at D 2. Given 3. 3. Two tangent theorem 4. ? 4. Radius-tangent theorem 5. 5. Reflexive property of congruence 6. 6. ? A. and are right angles; SAS B. and are radii; HL C. and are right angles; HL D. and are radii; SSS Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 10

What does the radius-tangent theorem state?

Revolt · Accepted Answer

Responses may vary but should include some or all of the following information: The radius-tangent theorem states that a tangent line to a circle is perpendicular to the radius of that circle at the point of tangency.

Tangents to a Circle Answers

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