11.4 Rotations 1/12/17.

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Presentation transcript:

11.4 Rotations 1/12/17

Rotation A transformation in which a figure is rotated about a point called the center of rotation The number of degrees a figure rotates is called the angle of rotation Rotations can occur clockwise or counterclockwise

Example 1 A Which of these shows a 270° counterclockwise rotation of the figure A? E D B C

Performing Rotations To rotate a figure 180°, draw a 180° angle with its vertex on the center of rotation and its endpoints on each old point and new point. This example shows a 180° rotation around the origin.

Example 2 Rotate the figure 180° about the origin.

Performing Rotations To rotate a figure 90°, draw a 90° angle with its vertex on the center of rotation and its endpoints on each old point and new point. This example shows a 90° counterclockwise rotation around point L.

Example 3 Rotate the figure 90° clockwise around point F. A B C D F E

Example 4 The red figure is the original. What series of transformations may have occurred to produce the blue figure?