Quadrilateral STUV is rotated 270° counterclockwise about the origin. If the coordinates of V were (3, -4), what are the coordinates of V’?

Respuesta :

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).