Question

in △jkl and △pqr, if $overline{jk}congoverline{pq}$, $angle jcongangle p$, and $angle kcongangle q$, then △jkl must be congruent to △pqr. a. true b. false

Explanation:

Step1: Recall congruence criterion

The Angle - Side - Angle (ASA) congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent.
In \(\triangle JKL\) and \(\triangle PQR\), \(\overline{JK}\cong\overline{PQ}\) (side), \(\angle J\cong\angle P\) (angle) and \(\angle K\cong\angle Q\) (angle), and \(\overline{JK}\) is the included side between \(\angle J\) and \(\angle K\) in \(\triangle JKL\), and \(\overline{PQ}\) is the included side between \(\angle P\) and \(\angle Q\) in \(\triangle PQR\).

Answer:

A. True