Question

it is given that △dba ≅ △azd. 3. name the angle that corresponds to ∠adb. 4. name the side that corresponds to ba. 3. the angle that corresponds to ∠adb is

Explanation:

Step1: Recall congruent - triangle properties

When $\triangle DBA\cong\triangle AZD$, corresponding parts are equal. The order of the vertices in the congruence statement gives the correspondence.

Step2: Find corresponding angle to $\angle ADB$

In $\triangle DBA$ and $\triangle AZD$, the angle corresponding to $\angle ADB$ is $\angle ZDA$ because the vertices are in the same relative position in the congruence $\triangle DBA\cong\triangle AZD$.

Step3: Find corresponding side to $\overline{BA}$

The side corresponding to $\overline{BA}$ is $\overline{ZD}$ as per the vertex - to - vertex correspondence in $\triangle DBA\cong\triangle AZD$.

Answer:

1. $\angle ZDA$
2. $\overline{ZD}$