Question

#1: △hey is congruent to △man by aas≅. what other parts of the triangles are congruent by cpctc?

Explanation:

Step1: Recall CPCTC meaning

CPCTC stands for Corresponding - Parts of Congruent Triangles are Congruent. If $\triangle HEY\cong\triangle MAN$ by AAS, we match the corresponding vertices.

Step2: Identify corresponding sides

The corresponding sides are: $HE\cong MA$, $EY\cong AN$, $HY\cong MN$.

Step3: Identify corresponding angles

The corresponding angles are: $\angle H\cong\angle M$, $\angle E\cong\angle A$, $\angle Y\cong\angle N$.

Answer:

$\triangle HEY\cong\triangle MAN$; $HE\cong MA$, $EY\cong AN$, $HY\cong MN$; $\angle H\cong\angle M$, $\angle E\cong\angle A$, $\angle Y\cong\angle N$