Question

22 what additional information is needed to prove that the triangles are congruent by sss?

Explanation:

Step1: Recall SSS congruence criterion

The SSS (Side - Side - Side) congruence criterion states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the two triangles are congruent.

Step2: Analyze given sides

In the figure of triangles \(WXZ\) and \(YXZ\), we can see that \(WX\) and \(YZ\) are two pairs of sides. We need to know the equality of the third - pair of sides.

Step3: Identify the missing side - pair

The missing pair of sides for the SSS criterion is \(WZ = YX\).

Answer:

We need to know that \(WZ = YX\).