Question

The point A(-3, 2) is rotated 270 degrees counter-clockwise about the origin. The coordinates of A’ are? (See image below)

Answer 1

Given that a point A(-3, 2) is rotated 270° counter-clockwise about the origin.

The rule for 270° counter-clockwise rotation about the origin is

`B(x,y)\rightarrow B^(\prime)(y,-x)`

Substituting the coordinates of A, the coordinates A' will be

`A(-3,2)\rightarrow A^(\prime)(2,3)`

Hence, the coordinates of A' are (2,3)