Given:
Quadrilateral STUV is rotated 270° counterclockwise about the origin.
The coordinates of V were (3, -4).
To find:
The coordinates of V’.
Solution:
If a figure rotated 270° counterclockwise about the origin, then the rule of rotation is:
[tex](x,y)\to (y,-x)[/tex]
The coordinates of V were (3, -4). Using the above rotation rule, we get
[tex]V(3,-4)\to V'(-4,-3)[/tex]
Therefore, the coordinates of V’ are (-4,-3).