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MIDDLE SCHOOL

Mathematics (Grade 8)

Geometry

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Geometry: Rigid Transformations

Rotating a Figure 90 Degrees Counterclockwise

Description

Rotating a Figure 90 Degrees Counterclockwise

Introduction

A rotation turns a figure around a fixed point without changing its size or shape. On a coordinate plane, rotation rules help us find the coordinates of the rotated image.

Rotations are usefu...

Transcript

Tessa gets a homework problem to rotate triangle EFG 90 degrees counterclockwise about the origin.

The vertices of the triangle are (3, 2), (6, 2), and (5, 6).

A 90-degree counterclockwise rotation about the origin follows the rule (x, y)→(−y, x), where the x- and y-coordinates swap places and the new x-coordinate changes sign.

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