△ABC ≅ △RTL

Question

. Write all 6 corresponding congruent statements by the Corresponding Parts of Congruent Triangles are Congruent (CPCTC).

(6 points)

Answer 1

Based on the congruence of triangles \( \triangle ABC \) and \( \triangle RTL \) (notated as \( \triangle ABC \cong \triangle RTL \)), we can write the six corresponding congruent statements using the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) principle.

1. \( AB \cong RT \) (the sides corresponding to each other)
2. \( BC \cong TL \)
3. \( CA \cong LR \)
4. \( \angle A \cong \angle R \) (the angles corresponding to each other)
5. \( \angle B \cong \angle T \)
6. \( \angle C \cong \angle L \)

These statements express the congruence of both the sides and angles of the two triangles.