8-3 Rotations. Video Tutor Help Reflection Dilation Translation Finding the angle of rotationFinding the angle of rotation (8-3a) Graphing rotationsGraphing.

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8-3 Rotations

Video Tutor Help Reflection Dilation Translation Finding the angle of rotationFinding the angle of rotation (8-3a) Graphing rotationsGraphing rotations (8-3) Rotations Rotational Symmetry Khan Academy

Video Tutor Help Writing a rule to describe a translation Graphing translations Graphing reflections of a shape Finding the angle of rotation Graphing rotations Graphing dilation images

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 8-3 Practice 8-3 Guided Problem Solving 8-3

Vocabulary Practice Vocabulary 8A: Graphic Organizer Vocabulary 8B: Reading Comprehension Vocabulary 8C: Reading/Writing Math Symbols Vocabulary 8D: Visual Vocabulary Practice Vocabulary 8E: Vocabulary C Vocabulary 8F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards

Additional Lesson Examples Step-by-Step Examples Lesson 8-3

Lesson Readiness Lesson Quiz Problem of the Day Lesson 8-3

Example 3-3a A figure has vertices A(–4, 5), B(–2, 4), C(–1, 2), D(–3, 1), and E(–5, 3). Graph the figure and the image of the figure after a rotation of 180°. To rotate the figure, multiply both coordinates of each point by –1. E(5, –3)  E(–5, 3) D(3, –1)  D(–3, 1) C(1, –2)  C(–1, 2) B(2, –4)  B(–2, 4) A(4, –5)  A(–4, 5) Rotations in a Coordinate Plane

Example 3-3a The coordinates of the vertices of the rotated figure are A(4, –5), B(2, –4), C(1, –2), D(3, –1), and E(5, –3). Graph the figure and its image. Answer:

Rotations LESSON 8-3 Find the angle of rotation for the figure below. The angle of rotation is 45°. Additional Examples The image matches the original after of a complete rotation. 360° = 45°

Rotations LESSON 8-3 Draw the image of rectangle ABCD after a rotation of 90° about the origin. Step 1 Draw and trace. Draw rectangle ABCD on a piece of graph paper. Place a piece of tracing paper over your graph. Trace the vertices of the rectangle, the x-axis, and the y-axis. Place your pencil at the origin to rotate the paper. Additional Examples

Rotations LESSON 8-3 (continued) Step 2 Rotate and mark each vertex. Rotate the tracing paper 90° counterclockwise. The axes should line up. Mark the position of each vertex by pressing your pencil through the paper. Additional Examples

Rotations LESSON 8-3 (continued) Step 3 Complete the new figure. Remove the tracing paper. Draw the rectangle. Label the vertices to complete the figure. Additional Examples