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find the length of nm. △mln is congruent to △yzx.

Question

find the length of nm.
△mln is congruent to △yzx.

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle MLN\cong\triangle YZX\), their corresponding sides are equal.

Step2: Identify the corresponding side

In congruent triangles \(\triangle MLN\) and \(\triangle YZX\), side \(NM\) corresponds to side \(XY\).

Step3: Find the length of \(XY\)

From the triangle \(\triangle YZX\), the length of \(XY = 2\) (by observing the side - length markings in the given figure of \(\triangle YZX\)).

Answer:

\(2\)