Linear Transform Sandbox

MTH-168 · Semester II · Mathematics II

Rotation of a point

Guided practice — solve each problem, check, then generate a fresh one.

Score 0 / 0

Formula to apply

R(90°) (x, y) = (−y, x)

Problem

Rotate the point (3, 3) by 90° counter-clockwise about the origin. Give the image coordinates.

Working

  1. 1R(90°)(x, y) = (−y, x).
  2. 2x′ = −(3) = -3, y′ = 3 = 3.