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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

Chapter Closure

Exercise 156 Page 539

AC, CB, CD, and CE are all radii of ⊙ C.

See solution.

Examining the diagram, we see two triangles, △ ABC and △ EDC. Notice that AC, CB, CD, and CE are all radii of ⊙ C, which means they are all congruent.

Since the triangles have three pairs of congruent sides, we can claim that △ ABC and △ EDC are congruent according to the SSS (Side-Side-Side) Congruence Theorem. Since ∠ ACB and ∠ DCB are corresponding angles, they must be congruent.

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