Question

If $△$PQR $\cong$ $△$XYZ by SSS criterion for congruency of triangles, then ____.

• A. $\angle R=\angle X$
• B. $\angle Q=\angle Z$
• C. $\angle P=\angle Y$
• D. $\angle P=\angle X,\angle Q=\angle Y,\angle R=\angle Z$

Answer 1

The correct option is D $\angle P=\angle X,\angle Q=\angle Y,\angle R=\angle Z$

We know that corresponding parts of congruent triangles are equal.

Since $△$PQR $\cong △$XYZ by SSS criterion,
PQ = XY
QR = YZ
RP = XZ.

The corresponding angles are :
$\angle$P and $\angle$X
$\angle$Q and $\angle$Y
$\angle$R and $\angle$Z

$\therefore \angle$P = $\angle$X, $\angle$Q = $\angle$Y, $\angle$R = $\angle$Z.