Question

would you use sss or sas to prove the triangles congruent? if there is not enough information to prove the triangles by sss or sas, write not enough information explain your answer.

oa. △mwz ≅ △ sss
ob. △mwz ≅ △ sas
oc. the two triangles are not necessarily congruent. there is not enough information.

Explanation:

Step1: Recall SSS and SAS criteria

SSS (Side - Side - Side) congruence: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. SAS (Side - Angle - Side) congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Step2: Analyze the given triangles

In the figure, we have two triangles. Let's assume the triangles are \(\triangle XWY\) and \(\triangle MWZ\). We are given side - side - side equalities (\(XW = MW\), \(WY=WZ\), \(XY = MZ\)) which satisfy the SSS criterion.

Answer:

A. \(\triangle MWZ\cong\triangle XWY\) by SSS.