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) ∠a≅∠□ (b) (overline{ab}congoverline{□}) ∠b≅∠□ (overline{ac}congoverline{□}) ∠c≅∠□ (overline{bc}congoverline{□}) (c) △bac≅△□

Explanation:

Step1: Identify corresponding angles

Corresponding angles in congruent triangles are equal. By matching the marked angles, we can find the pairs.

Step2: Identify corresponding sides

Corresponding sides in congruent triangles are equal. Match the marked sides.

Step3: Write triangle - congruence statement

Use the order of corresponding vertices to write the congruence statement.

Answer:

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