Question

the image of trapezoid pqrs after a reflection across wy is trapezoid pqrs. what is m∠yxs? 45° 90° 180° 270°

Explanation:

Step1: Recall property of reflection line

In a reflection, the line of reflection is perpendicular to the segments connecting pre - image and image points. Here, $\overleftrightarrow{WY}$ is the line of reflection. $\angle YXS$ is formed by the line of reflection $\overleftrightarrow{WY}$.

Step2: Determine angle measure

A perpendicular line forms a $90^{\circ}$ angle. So, $m\angle YXS = 90^{\circ}$.

Answer:

$90^{\circ}$