Question

In the diagram below, line segment AB has endpoints at A(-2,-6) and B (3,-1). Give the coordinates of line segment A'B' after a counterclockwise rotation of 90° about the origin. ​

Answer 1

A’ (6,-2)

B’ (1,3)

Explanation:

Here, we want to give the coordinates after a counterclockwise rotation of 90 degrees

Given a point with coordinates (x,y)

A counterclockwise rotation at 90 degrees to the origin will yield the coordinates (-y,x)

So A (-2,-6) will be A’ (6,-2) while B (3,-1) will be B’ (1,3)