91Ó°ÊÓ

WRITING Explain why the diagonals of a rectangle inscribed in a circle are diameters of the circle.

When will two lines tangent to the same circle not intersect? Justify your answer.

PROVING A THEOREM Write a paragraph proof of the Inscribed Angles of a Circle Theorem (Theorem 10.11). First, draw a diagram and write Given and Prove statements.

PROVING A THEOREM The Inscribed Right Triangle Theorem (Theorem 10.12) is written as a conditional statement and its converse. Write a plan for proof for each statement

Explain why the diameter of a circle is the longest chord of the circle.

Prove the External Tangent Congruence Theorem (Theorem 10.2). Given \(\overline{\mathrm{SR}}\) and \(\overline{\mathrm{ST}}\) are tangent to \(\odot\) P. Prove \(\overline{\mathrm{SR}} \cong \overline{\mathrm{ST}}\)