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.

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.

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

lies in the same plane as , which has a radius of 6 mm. At how many points will intersect if and ?

A line tangent to a circle is perpendicular to the __________ of the circle at the point of tangency.
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. ?

What does the radius-tangent theorem state?
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.
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