Mathematics: 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.

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Which of the following shows why parallelogram pqrs

lolfunny124

07.01.2022

Step-by-step explanation:

1. First transformation is the rotation 90° clockwise about the origin. This transformation has the rule

(x,y)→(y,-x).

Then

P(-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).

Then

P''(6,6)→P'(6,1);Q''(6,2)→Q'(6,-3);R''(2,3)→R'(2,-2);S''(2,7)→S'(2,2).

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