Question

complete the proof that ( \triangle vwx cong \triangle vyx ).

Explanation:

Step1: Recall the SSS (Side - Side - Side) Congruence Criterion

The SSS congruence criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Identify the sides in the triangles

In \(\triangle VWX\) and \(\triangle VYX\):

• We are given that \(\overline{VW}\cong\overline{VY}\) (one pair of sides)
• We are given that \(\overline{XY}\cong\overline{WX}\) (second pair of sides)
• We know that \(\overline{VX}\cong\overline{VX}\) (common side, reflexive property)

Answer:

By the SSS (Side - Side - Side) Congruence Criterion.