Question

is mnop congruent to tuvw? justify your answer.
yes, because a reflection across the line $y = -x$ maps mnop onto tuvw.

Explanation:

To determine if \( MNOP \) is congruent to \( TUVW \), we analyze the transformation. A reflection across the line \( y = -x \) is a rigid transformation (preserves distance and angle measure). Rigid transformations map figures to congruent figures. So, if reflecting \( MNOP \) over \( y = -x \) maps it onto \( TUVW \), they must be congruent.

Answer:

Yes, because a reflection across the line \( y = -x \) maps \( MNOP \) onto \( TUVW \).