Finding Reflections of Shapes

Finding Reflections of Shapes

Introduction

Reflections can be used to create symmetrical designs by flipping figures across a line. On a coordinate plane, reflecting a figure across an axis changes its position while preserving its size and shape.

In art class, Mary uses reflections to create a symmetrical design on a coordinate grid.

She starts with rectangle ABCD, with vertices at (2, 2), (6, 2), (6, 5), and (2, 5).

To create its reflection across the y-axis, Mary keeps each y-coordinate the same and changes the sign of each x-coordinate to get the reflected points. This f...