Question

the 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 = 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 and is bisected by it. Let the line of reflection be \(WY\). For any two - points \(R\) and \(S\) and their images \(R'\) and \(S'\) respectively, the line segments \(RR'\) and \(SS'\) are both perpendicular to the line of reflection \(WY\).
Since two lines perpendicular to the same line are parallel, we have \(RR'\parallel SS'\).

Answer:

There is no correct option among the given ones as the correct relationship is \(RR'\parallel SS'\) (but this is not one of the provided choices).