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MIDDLE SCHOOL

Mathematics (Grade 8)

Geometry

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Geometry: Rigid Transformations

Rotating a Figure 270 Degrees Counterclockwise

Description

Rotating a Figure 270 Degrees Counterclockwise

Introduction

A 270° counterclockwise rotation turns a figure three-fourths of a full turn around a fixed point. A coordinate rule can be used to find the image of a figure rotated about the origin.

Transcript

Blaire is solving a problem in which she needs to rotate rectangle PQRS 270 degrees counterclockwise about the origin.

The vertices of the rectangle are: (-6, 3) for P, (-6, 5) for Q, (-2, 5) for R and (-2, 3) for S.

A 270-degree counterclockwise rotation about the origin follows the rule (x, y) → (y, −x), which means the x- and y-c...

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