Question 5 of 10 In △JKL and △PQR, if JK ≅ PQ, ∠J ≅ ∠P, and ∠K ≅ ∠Q, then △JKL must be congruent to △PQR. A. True B. False

Answer: True

Explanation: Subject: Math — Geometry (triangle congruence). Relevant concept: ASA (Angle–Side–Angle) Congruence Postulate.

Given ∠J ≅ ∠P and ∠K ≅ ∠Q, and side JK ≅ PQ, the side JK is the side between angles J and K, and PQ is the side between angles P and Q. So we have two angles and the included side congruent (ASA), which guarantees the two triangles are congruent.

Steps:

1. Match corresponding vertices: J ↔ P, K ↔ Q, L ↔ R.
2. Note the given congruences: ∠J = ∠P, ∠K = ∠Q, and side JK = PQ.
3. Observe that side JK is included between the two given angles ∠J and ∠K (and similarly PQ is included between ∠P and ∠Q).
4. Apply the ASA Congruence Postulate: two triangles with two angles and the included side congruent are congruent.
5. Conclude ΔJKL ≅ ΔPQR.