Question

fill in the missing statement.

a. \\( \angle b a c = \angle d a c \\) b. \\( \angle b = \angle d \\)
c. \\( \angle b a c = \angle d a c \\) d. \\( c b = c d \\)

Explanation:

Step1: Recall the definition of an angle bisector

An angle bisector divides an angle into two equal angles.

Step2: Apply the definition to the given angle

Since \( \overline{AC} \) bisects \( \angle BAD \), by the definition of an angle bisector, \( \angle BAC=\angle DAC \).

Answer:

A. \( \angle BAC = \angle DAC \)