Rotating a Figure 270 Degrees Clockwise

Rotating a Figure 270 Degrees Clockwise

Introduction

A 270° clockwise rotation turns a figure three-quarters of a full turn to the right around a fixed point called the center of rotation. Rotations are useful in designs, animations, maps, games, and patterns. Understanding...

Sophia gets a homework problem to rotate triangle ABC 270 degrees clockwise about the origin in the coordinate plane.

She begins by listing the vertices as A at (2, 4), B at (4, 4), and C at (4, 1).

To rotate a figure 270 degrees clockwise about the origin, she follows the rule (x, y) → (−y, x). The x- and y-coordinates swap places...