Question

if ln≅xz, is △lmn≅△xyz?

Explanation:

To determine if \(\triangle LMN\cong\triangle XYZ\), we analyze the given congruent parts. We know that two sides of \(\triangle LMN\) (one with one tick mark, one with two tick marks) and two sides of \(\triangle XYZ\) (matching tick marks) are congruent, and \(LN\cong XZ\) (given). By the Side - Side - Side (SSS) congruence criterion, if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent. Here, the two triangles have two pairs of congruent sides (from the tick marks) and the third pair \(LN\cong XZ\), so \(\triangle LMN\cong\triangle XYZ\) by SSS.

Answer:

Yes