Question

if ( \triangle mnpcong\triangle vwx ) and ( overline{pm} ) is the shortest side of ( \triangle mnp ), what is the shortest side of ( \triangle vwx )?

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle MNP\cong\triangle VWX\), their corresponding sides are equal. That is \(MN = VW\), \(NP=WX\), \(PM = XV\).

Step2: Identify the shortest side

Given that \(PM\) is the shortest side of \(\triangle MNP\). Because of the congruence \(\triangle MNP\cong\triangle VWX\), the corresponding side of \(PM\) in \(\triangle VWX\) is \(XV\).

Answer:

\(\overline{XV}\)