Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ∠adp ≅ ∠cdp prove: pd is an angle bisector of ∠adc.

Explanation:

An angle bisector is a ray that divides an angle into two congruent angles. Since $\angle ADP\cong\angle CDP$, by the definition of an angle - bisector, $\overline{PD}$ is the angle bisector of $\angle ADC$.

Answer:

The definition of an angle - bisector.