Question

given: ab = ad, ac is an angle bisector of ∠bad prove: △acd ≅ △acb what is the “statement” for step 2 of the proof?

Explanation:

Step1: Recall the property of angle bisector

An angle bisector divides an angle into two equal parts.

Step2: Analyze the given information

Since \(AE\) is the angle bisector of \(\angle BAD\), by the definition of an angle bisector, \(\angle BAC\cong\angle DAC\).

Answer:

\(\angle BAC\cong\angle DAC\)