the image of trapezoid pqrs after a reflection across wy is trapezoid pqrs. what is the relationship between…

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 the distance from the point to the line of reflection is equal to the distance from its image to the line of reflection. For any two points (R) and (S) and their images (R') and (S') after reflection across a line (\overleftrightarrow{WY}), the line - segments (\overline{RR'}) and (\overline{SS'}) are both perpendicular to the line of reflection (\overleftrightarrow{WY}).

Step2: Determine the relationship

If two lines are perpendicular to the same line, then they are parallel to each other. So, (\overline{RR'}\parallel\overline{SS'}). There is no information to suggest that (RR' = 2SS') or (RR'=4SS') or (\overline{RR'}\perp\overline{SS'}).

Answer:

C. (\overline{RR'}\parallel\overline{SS'})