Question

1. quadrilateral pqrs is a rotation of polygon vzyw.

is angle qrs congruent to angle zyw?
no diagram given! what should you do????
yes! explain your
reasoning.
no! name the angle that
is congruent to angle
qrs.

Explanation:

Step1: Recall the property of rotation

Rotation is a transformation that preserves the shape and size of a figure. So, corresponding angles of a rotated figure are congruent.

Step2: Identify corresponding angles

Since quadrilateral \(PQRS\) is a rotation of polygon \(VZYW\), angle \(QRS\) and angle \(ZYW\) are not corresponding angles.

Step3: Find the corresponding angle

The angle congruent to \(\angle QRS\) is \(\angle VZW\) (because of the rotation - corresponding parts of congruent (rotated) figures are congruent).

Answer:

NO! The angle congruent to \(\angle QRS\) is \(\angle VZW\)