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MIDDLE SCHOOL

Mathematics (Grade 8)

Geometry

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Geometry: Rigid Transformations

Combining Reflection and Translation

Description

Combining Reflection and Translation

Introduction

A figure can undergo a sequence of transformations, such as a reflection followed by a translation. Each transformation changes the figure’s position while preserving its size and shape.

Following the transformat...

Transcript

Maya gets a homework problem: Reflect rectangle ABCD across the x-axis, then translate it 5 units to the right and 2 units up on the coordinate plane.

The vertices of the rectangle are (-4, 1), (-1, 1), (-1, 3), and (-4, 3).

First, she reflects the figure over the x-axis. To do this, she keeps the x-coordinate the same and changes th...

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