Question

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

because they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Explanation:

Answer 2

Complete the missing parts of the paragraph proof.

Proof:

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.