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) $angle a \cong \angle \square$
$angle b \cong \angle \square$
$angle c \cong \angle \square$
(b) $overline{ab} \cong \overline{\square}$
$overline{ac} \cong \overline{\square}$
$overline{bc} \cong \overline{\square}$
(c) $\triangle acb \cong \triangle \square$

Explanation:

Step1: Match congruent angles

$\angle A \cong \angle Z$, $\angle B \cong \angle Y$, $\angle C \cong \angle X$

Step2: Match congruent sides

$\overline{AB} \cong \overline{ZY}$, $\overline{AC} \cong \overline{ZX}$, $\overline{BC} \cong \overline{XY}$

Step3: Write congruence statement

$\triangle ACB \cong \triangle ZXY$

Answer:

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