Question

complete the congruence statement.

triangle lnm with right angle at l, ml = 23 cm, ln = 23 cm, mn = 32 cm, angle at m is 45 degrees, angle at n is 45 degrees.

△lnm ≅ △blank

Explanation:

Step1: Identify corresponding parts

In congruent triangles, corresponding sides and angles are equal. Here, \(LN = ML = 23\) cm, \(\angle N=\angle M = 45^{\circ}\), and \(\angle L\) is a right - angle (common property for congruence check).

Step2: Determine the congruent triangle

Since \(LN = ML\), \(\angle N=\angle M\), and \(\angle L=\angle L\) (right - angle), by the Side - Angle - Side (SAS) congruence criterion (two sides and the included angle), the triangle congruent to \(\triangle LNM\) is \(\triangle MLN\).

Answer:

\(\triangle MLN\)