Question

Prove that triangles ∆KLM and ∆NMP are congruent

Given:
KL = NM (1st side)
KM = NP (2nd side)
LM = MP (3rd side)

To Prove:
∆KLM ≅ ∆NMP

Answer 1

To prove the congruency of triangles ∆KLM and ∆NMP, show that their corresponding sides and angles are equal. We can use the side-side-side (SSS) congruence criterion to determine their congruency.

Step-by-step explanation:

To prove that triangles ∆KLM and ∆NMP are congruent, we need to show that their corresponding sides and angles are equal. Given KL = NM, KM = NP, and LM = MP, we can see that the three sides of both triangles are equal in length.

Since the three sides of triangles ∆KLM and ∆NMP are equal, we can conclude that by the side-side-side (SSS) congruence criterion, the triangles are congruent.