Question

question 5 of 10
in (\triangle jkl) and (\triangle pqr), if (overline{jk}congoverline{pq}), (angle jcongangle p), and (angle kcongangle q), then (\triangle jkl) must be congruent to (\triangle pqr).
a. true
b. false

Explanation:

Step1: Recall the ASA (Angle - Side - Angle) congruence criterion

Two triangles are congruent by ASA if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
In \(\triangle JKL\) and \(\triangle PQR\), we have \(\angle J\cong\angle P\), \(JK\cong PQ\) (the included side between \(\angle J\) and \(\angle K\) in \(\triangle JKL\) and between \(\angle P\) and \(\angle Q\) in \(\triangle PQR\)), and \(\angle K\cong\angle Q\).

Answer:

A. True