Question

triangles identifying and naming congruent parts of congruent triangles name all the corresponding congruent angles and sides. then, complete the triangle congruence statement. (a) \\( \angle a \cong \angle \square \\) (b) \\( \overline{a b} \cong \overline{\square} \\) \\( \angle b \cong \angle \square \\) \\( \overline{a c} \cong \overline{\square} \\) \\( \angle c \cong \angle \square \\) \\( \overline{b c} \cong \overline{\square} \\) (c) \\( \triangle c b a \cong \triangle \square \\)

Explanation:

Step1: Match congruent angles

Corresponding angles have same markings: $\angle A \cong \angle Z$, $\angle B \cong \angle X$, $\angle C \cong \angle Y$

Step2: Match congruent sides

Corresponding sides have same markings: $\overline{AB} \cong \overline{ZX}$, $\overline{AC} \cong \overline{ZY}$, $\overline{BC} \cong \overline{XY}$

Step3: Write congruence statement

Order vertices to match correspondence: $\triangle CBA \cong \triangle YXZ$

Answer:

(a) $\angle Z$, $\angle X$, $\angle Y$
(b) $\overline{ZX}$, $\overline{ZY}$, $\overline{XY}$
(c) $\triangle YXZ$