Which of the following shows why parallelogram PQRS is congruent to parallelogram P'Q'R'S'? A. The parallelogram was rotated 180° clockwise about the origin and shifted 5 units in the y-direction. B. The parallelogram was rotated 90° clockwise about the origin and shifted -5 units in the y-direction. C. The parallelogram was rotated 90° clockwise about the origin and shifted 5 units in the x-direction. D. The parallelogram was rotated 180° clockwise about the origin and shifted -5 units in the x-direction.
Accepted Solution
A:
Answer:BStep-by-step explanation:1. First transformation is the rotation 90° clockwise about the origin. This transformation has the rule(x,y)→(y,-x).ThenP(-6,6)→P''(6,6);Q(-2,6)→Q''(6,2);R(-3,2)→R''(2,3);S(-7,2)→S''(2,7).2. The second transformation is translation 5 units down with the rule (x,y)→(x,y-5). ThenP''(6,6)→P'(6,1);Q''(6,2)→Q'(6,-3);R''(2,3)→R'(2,-2);S''(2,7)→S'(2,2).