the image of trapezoid pqrs after a reflection across wy is trapezoid pqrs. what is m∠yxs? 45° 90° 180° 270°
the image of trapezoid pqrs after a reflection across wy is trapezoid pqrs. what is m∠yxs? 45° 90° 180° 270°
Answer
Explanation:
Step1: Recall property of reflection line
A line of reflection is perpendicular to the segment connecting a point and its image. Here, $\overleftrightarrow{WY}$ is the line of reflection. $\angle YXS$ is formed by the line of reflection $\overleftrightarrow{WY}$ and the segment related to the reflection.
Step2: Determine angle measure
Perpendicular lines form a $90^{\circ}$ angle. So, $m\angle YXS = 90^{\circ}$.
Answer:
$90^{\circ}$