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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.

Which of the following shows why parallelogram PQRS is congruent to parallelogram PQRS A The parallelogram was rotated 180 clockwise about the origin and shift class=

Respuesta :

frika

Answer:

B

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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