Question

the triangles below are congruent and their corresponding parts are marked.
name all the corresponding congruent angles and sides.
then, complete the triangle congruence statement.
(a) $angle a cong angle square$
(b) $overline{ab} cong overline{square}$
$angle b cong angle square$
$overline{ac} cong overline{square}$
$angle c cong angle square$
$overline{bc} cong overline{square}$
(c) $\triangle cab cong \triangle square$

Explanation:

Step1: Match congruent angles

Use marked angle congruence:
$\angle A \cong \angle Z$, $\angle B \cong \angle Y$, $\angle C \cong \angle X$

Step2: Match congruent sides

Use marked side congruence:
$\overline{AB} \cong \overline{YZ}$, $\overline{AC} \cong \overline{ZX}$, $\overline{BC} \cong \overline{XY}$

Step3: Write congruence statement

Map corresponding vertices: $C\to X$, $A\to Z$, $B\to Y$
$\triangle CAB \cong \triangle XZY$

Answer:

(a) $\angle A \cong \angle Z$, $\angle B \cong \angle Y$, $\angle C \cong \angle X$
(b) $\overline{AB} \cong \overline{YZ}$, $\overline{AC} \cong \overline{ZX}$, $\overline{BC} \cong \overline{XY}$
(c) $\triangle CAB \cong \triangle XZY$