Question

question 10 of 10 look at the diagram below. if ∠abd≅ ∠cbd, then ad = cd. a. true b. false

Explanation:

Step1: Identify congruent triangles

In $\triangle ABD$ and $\triangle CBD$, $\angle ABD\cong\angle CBD$, $\angle BAD=\angle BCD = 90^{\circ}$, and $BD$ is common to both triangles.

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