High School

Thank you for visiting Complete the missing parts of the paragraph proof Proof We know that central angles are congruent because it is given We can say that segments. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Complete the missing parts of the paragraph proof.

Proof:

We know that central angles are congruent because it is given. We can say that segments AO, CO, BO, and DO are congruent because they are all radii of the same circle. Then by the SAS (Side-Angle-Side) congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because corresponding parts of congruent triangles are congruent (CPCTC).

Answer :

We know that central angles AOC and BOD are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because all radii of a circle are congruent. Then by the SAS congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because CPCTC

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