Question

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)

Answer 1

C)
`W'(1, 3), X'(4, 2), Y'(1, -3), Z'(-3, 0)`

Explanation:

Given co-ordinates are

• 
  `W(-3,1)`
• 
  `X(-2,4)`
• 
  `Y(-3,1)`
• 
  `Z(0,3)`

When we rotate 90° the x-coordinate of
`W` became the y-coordinate of
`W'`. Also y-coordinate of
`W'` is opposite of x-coordinate of
`W`.

We have
`W=(-3,1)`

So,
`W'=(1,3)`

Similarly

`X'=(4, 2)\\Y'=(1, -3)\\Z'=(-3, 0)`