12.3 Rotations.

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Rotations Warm Up Lesson Presentation Lesson Quiz

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Presentation transcript:

12.3 Rotations

Rotations Rotation- a transformation that turns a figure around a fixed point, called the center of rotation.

Examples Tell whether each transformation appears to be a reflection, translation, rotation, or neither. Explain. 1) 2)

Examples Tell whether each transformation appears to be a reflection, translation, rotation, or neither. Explain. 1) 2)

Rotations

Rotations Unless otherwise stated, all rotations in this book are counterclockwise.

Rotations

Examples Rotate ΔJKL with vertices J(2, 2), K(4, –5), and L(–1, 6) by 180° about the origin. Rotate ∆ABC by 180° about the origin.

Example 1) A Ferris wheel has a 100 ft diameter and takes 60 s to make a complete rotation. A chair starts at (100, 0). After 5 s, what are the coordinates of its location to the nearest tenth?