Question

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 . Then by the 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

Answer 1

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

Step-by-step explanation:

Answer 2

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