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 the property of reflection

When a figure is reflected across a line, the line of reflection is the perpendicular bisector of the segment joining a point and its image. In this case, \(\overrightarrow{WY}\) is the line of reflection.

Step2: Analyze the angle \(\angle YXS\)

The line of reflection \(\overrightarrow{WY}\) and the segment \(SS'\) (or other corresponding segments) are related such that \(\angle YXS\) is formed by the intersection of the line of reflection and the segment joining a pre - image and its image. By the property of reflection, the line of reflection is perpendicular to the segment joining a point and its image. A perpendicular angle has a measure of \(90^{\circ}\).

Answer:

\(90^{\circ}\)