Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation.

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Presentation transcript:

Rotation Around a Point

A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation is clockwise if its direction is the same as that of a clock hand. A rotation in the other direction is called counterclockwise. A complete rotation is 360˚.

A Ferris wheel makes a 90˚ rotation with ¼ turn.

Describe the Rotation in 2 ways. 120˚ Counter Clockwise 240˚ Clockwise

Describe the Rotation in 2 ways. 55˚ Clockwise 305˚ Counter Clockwise

Describe the Rotation in 2 ways. 175˚ Clockwise 185˚ Counter Clockwise

Describe the Rotation in 2 ways. 165˚ Counter Clockwise 195˚ Clockwise

Estimate the angle and direction of the rotation. About 85˚ Counter Clockwise

Estimate the angle and direction of the rotation. About 60˚ Counter Clockwise

Estimate the angle and direction of the rotation. About 140˚ Clockwise

Rotation Activity

Rotate a figure 180˚clockwise about the origin in the coordinate grid: 1.Sketch original figure on the graph: K(-6, 2) L (-2, 6) M (6, 6) and O (0, 1) 2.Estimate where the new figure will end up. 3.Draw the new figure. 4.Write down the new ordered pairs. 5.What do you notice about the original ordered pairs and the new ordered pairs? L K M O O’ K’ M’ L’ K’ (6, -2) L’ (2, -6) M (-6, -6) O (0, -1)

When you rotate a figure 180˚, does it matter whether you rotate clockwise or counterclockwise? Compare  K to  K’,  L to  L’, and  M to  M’. What do you notice about each angle pair? What effect do rotations have on angles? What effect do rotations have on side lengths? L K M O O’ K’ M’ L’