9-4: Rotations Objectives: Assignment: To perform rotations
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9-4: Rotations Objectives: Assignment: To perform rotations
9-4: Rotations Objectives: 1. To perform rotations Assignment: • P. 127-128: 5-15 • Challenge Problems Objective 1 You will be able to perform rotations Reflection A rotation is rigid motion that maps turns a figure according to a an angle of rotation and a center of rotation. The original figure is called the pre-image Center of rotation The transformed figure is called the image Investigation: Rotations 1. Open your GSP file. On the first tab, drag point 𝐶 on the angle of rotation and observe the relationship between the image and the pre-image. Investigation: Rotations 2. Now drag point the point marked Center of Rotation and observe the relationship between the image and the pre-image. Investigation: Rotations 3. Next, click on the Rotations tab at the bottom of the screen. Click on the Rotate 90 button. Investigation: Rotations 4. Drag points on the pre-image. Observe the corresponding points on the image. Investigation: Rotations 5. Click on the Perpendicular Segments button. What do you notice about these segments and their endpoints? What is the center of rotation? Investigation: Rotations 6. Let 𝑥, 𝑦 be a point on the preimage. Write a coordinate mapping that rotates this point 90° around the origin. Investigation: Rotations 7. Repeat Steps 3-6 for a rotation around the origin for 180°, 270°, and 360°. Transformation Coordinate Rules Coordinate Notation for a Rotation Presentation: Rotations Now complete the SpringBoard activities on P. 120-122 and P. 124. As a group, create a presentation that summarizes what you’ve learned about translations. Also decide who in your group will teach this information to the rest of the class. 9-4: Rotations Objectives: 1. To perform rotations Assignment: • P. 127-128: 5-15 • Challenge Problems