33.0k views
1 vote
Determine whether AB¯¯¯¯¯¯¯¯

A
B
¯
is a diameter of the circle. Explain your reasoning.

Determine whether AB¯¯¯¯¯¯¯¯ A B ¯ is a diameter of the circle. Explain your reasoning-example-1
User Xdrone
by
4.6k points

1 Answer

7 votes

Answer: D

Explanation:

The shared side and sides AC and AD are congruent, as well as the included angles, so the triangles are congruent. This means that by CPCTC, segments BC and BD are congruent, and thus AB bisects CD. Therefore, AB is a diameter.

User Polesen
by
4.9k points