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Parallelogram ABCD is translated (x + 3, y - 2) and then rotated 90° about the origin in the clockwise direction. Complete the table to
show the locations of A", B", C", and D" after both transformations.

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Parallelogram ABCD is translated x 3 y 2 and then rotated 90 about the origin in the clockwise direction Complete the table to show the locations of A B C and D class=

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sqdancefan

Answer:

  • A"(-1, 2)
  • B"(1, 1)
  • C"(1, -2)
  • D"(-1, -1)

Step-by-step explanation:

You want the coordinates of A", B", C", D", given parallelogram ABCD has been translated right 3, down 2, then rotated 90° CW. A=(-5, 1), B=(-4, 3), C=(-1, 3), D=(-2, 1).

Transformation

The rotation 90° CW is described by the transformation ...

  (x, y) ⇒ (y, -x)

This means the composition of the translation and rotation is described by ...

  (x, y) ⇒ (y -2, -x -3)

The new coordinates are ...

  A(-5, 1) ⇒ A"(-1, 2)
  B(-4, 3) ⇒ B"(1, 1)
  C(-1, 3) ⇒ C"(1, -2)
   D( -2, 1) ⇒ D"(-1, -1)

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