• Draw rectangle ABCD on a piece of graph paper.

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Presentation transcript:

• Draw rectangle ABCD on a piece of graph paper. Rotations COURSE 3 LESSON 3-10 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. 3-10

Step 2 Rotate and mark each vertex. Rotations COURSE 3 LESSON 3-10 (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. 3-10

Step 3 Complete the new figure. • Remove the tracing paper. Rotations COURSE 3 LESSON 3-10 (continued) Step 3 Complete the new figure. • Remove the tracing paper. • Draw the rectangle. • Label the vertices to complete the figure. 3-10

The image matches the original after of a complete rotation. Rotations COURSE 3 LESSON 3-10 Does this figure have rotational symmetry? If so, give the angle of rotation. The image matches the original after of a complete rotation. 1 8 1 8 • 360° = 45° 3-10

Rotations COURSE 3 LESSON 3-10 1. Graph (1, 6). Rotate it 90°, 180°, and 270° about the origin and name the coordinates of each image. 2. A regular hexagon has six equal sides. If the figure has rotational symmetry, find the angle of rotation. (–6, 1), (–1, –6), (6, –1) 60° 3-10