Unit 9 Lesson 3 Rotations

Unit 9 Lesson 3: Rotations

Unit 9 Lesson 3: Rotations

Lesson Overview

Rotations

 

What You Will Learn

What You Will Learn Banner
  • recognizing and constructing rotations of geometric figures.
  • Finding images after a rotation and finding angles of rotations.

Overview

In this lesson, you will learn to recognize and construct rotations of geometric figures. You will show your learning by finding images after a rotation and finding angles of rotations.

Essential Understanding

A geometric figure's size, shape, and orientation stay the same when you turn the figure about a point.

  • Read pages 395-401 in your course textbook.

This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.

Lesson 3: Rotations

 

Resource Videos

Drawing a Rotation Image

Angle of Rotation

Proceed to the Next Page 

Prepare for Application 

Instructions

Prepare for Application

You have now studied Indirect Proof. It is now time to demonstrate your learning.

Try the activities below on your own. You should be able to answer these before beginning the practice.

 

Create a journal entry called 'Unit 8: Lesson 3 activities' and do these activities in your journal.

Activity 1

What is the image of LOB for a 50° rotation about B?

Activity 1

Activity 2

In the figure below, what is the image of E for a 144° rotation about X?

Activity 2

Activity 3
Activity 3

For question 1, refer to the picture below.

  1. What is the angle of rotation about C that maps M to Q?
  2. If a 50° rotation about point P maps point A to point B, what angle of rotation maps point B to point A?
Activity 4

What are the coordinates of the image of point A(-2, 3) for a composition of two 90° rotations about the origin?