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 (-2, -1) by 270° counter-clockwise about the origin. Give the image coordinates.

Working

  1. 1R(270°)(x, y) = (y, −x).
  2. 2x′ = -1 = -1, y′ = −(-2) = 2.