Question

HELP PLEASE! it would help a ton!

What are the coordinates of the image of point W after rotating rectangle WXYZ 270° counterclockwise about the origin? (see picture)
A. W’( -3, 4)
B. W’( 4, 3)
C. W’(3, 4)
D. W’(-3, -4)

Answer 1

D

Explanation:

A rectangle WXYZ has its vertices at points W(4,-3), X(9,-3), Y(9,-10) and Z(4,-10).

A rotation by 270° counterclokwise about the origin has the rule

`(x,y)\rightarrow (y,-x)`

Thus,

• 
  `W(4,-3)\rightarrow W'(-3,-4);`
• 
  `X(9,-3)\rightarrow X'(-3,-9);`
• 
  `Y(9,-10)\rightarrow Y'(-10,-9);`
• 
  `Z(4,-10)\rightarrow Z'(-10,-4).`

Hence, correct option is D