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

Solution

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)