Question

ac bisects ∠bad reason: given ∠bac≅∠dac reason: an angle bisector divides an angle into two congruent angles

Explanation:

Step1: Recall angle - bisector property

By definition, an angle bisector divides an angle into two congruent angles. Given that $\overline{AC}$ bisects $\angle BAD$, we can conclude that $\angle BAC\cong\angle DAC$.

Answer:

An angle bisector divides an angle into two congruent angles.