Question

question 7 of 10 based only on the given information, it is guaranteed that ad = cd. click here for long description a. true b. false

Explanation:

Step1: Identify congruent triangles

We have $\angle BAD=\angle BCD = 90^{\circ}$, and $\angle ABD=\angle CBD$ (given by the angle - bisector), and $BD = BD$ (common side).

Step2: Apply AAS congruence

By the Angle - Angle - Side (AAS) congruence criterion, $\triangle ABD\cong\triangle CBD$.

Step3: Use congruent - triangle properties

Since corresponding parts of congruent triangles are equal, $AD = CD$.

Answer:

A. True