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Mathematics LibreTexts

4.B: Rotations

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Overview

The purpose of this lesson is to learn how to rotate shapes.

This lesson will address the following CCRS Standard(s) for Geometry:

  • 8.G.2: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them

Directions

  1. Take notes while watching videos below
  2. Go to http://wamap.org and log into our course to complete assignment 4.B with 80% or better.

Do

Complete assignment 4.B with 80% or better at http://wamap.org

Summary

In this lesson we have learned:

  • Rotations turn each point around a given point at a given angle
    • Rotating 90 degrees shifts the point (x,y) to (-y,x)
    • Rotating 180 degrees shifts the point (x,y) to (-x,-y)
    • Rotating 270 degrees shifts the point (x,y) to (y,-x)
  • The resulting shape is still congruent to the original shape
  • Rotations, Reflections, and Translations can be combined to create various congruent shapes.

4.B: Rotations is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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