Combining Rotation and Translation

Combining Rotation and Translation

Introduction

Imagine turning a game piece and then sliding it across a board. In geometry, these movements are called rotation and translation. Combining them helps us describe how shapes move while keeping their size and...

Brenna gets a homework problem: Rotate triangle JKL 90 degrees clockwise about the origin and then translate it 4 units to the right and 3 units down on the coordinate plane.

The vertices of the triangle are (-2, 2), (-4, 2), and (-4, 5).

First, Brenna rotates the triangle 90 degrees clockwise about the origin. Using the rule, (x, y)...