Question

question
complete each statement by naming the corresponding angle or side.
\triangle yxzcong\triangle yxu
findangle yxzcong?
\triangle zyxcong\triangle uxy

Explanation:

Step1: Analyze the congruent triangles

Given \(\triangle YXU\cong\triangle YXZ\). When two triangles are congruent, their corresponding parts (angles and sides) are congruent.

Step2: Identify the corresponding angle

For \(\angle YXZ\) in \(\triangle YXZ\), in the congruent triangle \(\triangle YXU\), the corresponding angle is \(\angle YXU\) (by the definition of congruent triangles, where the order of the letters in the congruence statement \(\triangle YXU\cong\triangle YXZ\) gives the correspondence of vertices \(Y - Y\), \(X - X\), \(U - Z\)).

Answer:

\(\angle YXU\)