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8 multiple choice 1 point state what additional information is needed t…

Question

8 multiple choice 1 point state what additional information is needed to prove the triangles are congruent using sas: uw ≅ km vw ≅ vm ∠w ≅ ∠k not possible

Explanation:

Step1: Recall SAS congruence criterion

SAS (Side - Angle - Side) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step2: Analyze the given triangles

We can observe that \(UV = VM\) (marked with \(x\)) and \(WV=VK\) (marked with \(+\)). The included angles for these sides in \(\triangle UW V\) and \(\triangle KMV\) are \(\angle W\) and \(\angle K\) respectively.

Answer:

\(\angle W\cong\angle K\)