1. • 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.
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2. 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.
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3. 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.
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4. 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°
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5. 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°
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