Question

image of trapezoid pqrs after a reflection across wy is trapezoid pqrs. what is the relationship between rr and ss? rr || ss rr = 4ss rr ⊥ ss rr = 2ss

Explanation:

Step1: Recall reflection property

In a reflection, the line segment joining a point and its image is perpendicular to the line of reflection. Let the line of reflection be $\overleftrightarrow{WY}$. The distance from a point to the line of reflection is the same as the distance from its image to the line of reflection. Also, the line - segments joining points and their images are parallel to each other.
Since $R$ and $R'$ are a point - image pair and $S$ and $S'$ are a point - image pair with respect to the reflection across $\overleftrightarrow{WY}$, the line segments $\overline{RR'}$ and $\overline{SS'}$ are parallel to each other. There is no information given to suggest any proportional relationship between their lengths.

Answer:

$\overline{RR'}\parallel\overline{SS'}$