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Find the coordinates of the vertices of each image after the given pre-image is rotated 90° clockwise (270° counterclockwise) about the origin.
A) W'(-1, -3), X'(-4, -2), Y'(-1, 3), Z'(3, 0)
B) W'(-1, 0), X'(0, 3), Y'(5, 0), Z'(2, -4)
C) W'(1, 3), X'(4, 2), Y'(1, -3), Z'(-3, 0)
D) W'(3, -1), X'(2, -4), Y'(-3, -1), Z'(0, 3)

Find the coordinates of the vertices of each image after the given preimage is rotated 90 clockwise 270 counterclockwise about the origin A W1 3 X4 2 Y1 3 Z3 0 class=

Respuesta :

Answer:

C) [tex]W'(1, 3), X'(4, 2), Y'(1, -3), Z'(-3, 0)[/tex]

Step-by-step explanation:

Given co-ordinates are

  • [tex]W(-3,1)[/tex]
  • [tex]X(-2,4)[/tex]
  • [tex]Y(-3,1)[/tex]
  • [tex]Z(0,3)[/tex]

When we rotate 90° the x-coordinate of [tex]W[/tex] became the y-coordinate of [tex]W'[/tex]. Also y-coordinate of [tex]W'[/tex] is opposite of x-coordinate of [tex]W[/tex].

We have [tex]W=(-3,1)[/tex]

So, [tex]W'=(1,3)[/tex]

Similarly

[tex]X'=(4, 2)\\Y'=(1, -3)\\Z'=(-3, 0)[/tex]

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