Question

the triangles shown are congruent. match each vertex and side of triangle pqr to its corresponding part in triangle x y z: answer choices: drag the answer choices to the correct category over here! vertex z vertex x vertex y side xz side y z side y x vertex p vertex q vertex r side pq side qr side pr

Explanation:

Step1: Analyze congruent triangles

Congruent triangles have corresponding vertices and sides.

Step2: Match vertices

By visual inspection or coordinate - based congruence (if coordinates are used for mapping), we can see that \(P\) corresponds to \(Y\), \(Q\) corresponds to \(X\), \(R\) corresponds to \(Z\).

Step3: Match sides

Since \(PQ\) is between \(P\) and \(Q\), it corresponds to \(YX\) (between \(Y\) and \(X\)); \(QR\) (between \(Q\) and \(R\)) corresponds to \(XZ\) (between \(X\) and \(Z\)); \(PR\) (between \(P\) and \(R\)) corresponds to \(YZ\) (between \(Y\) and \(Z\)).

Answer:

Vertex \(P\): Vertex \(Y\); Vertex \(Q\): Vertex \(X\); Vertex \(R\): Vertex \(Z\); Side \(PQ\): Side \(YX\); Side \(QR\): Side \(XZ\); Side \(PR\): Side \(YZ\)