Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around...

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Rotation Around a Point

Transcript of Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around...

Page 1: 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.

Rotation Around a Point

Page 2: 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.

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˚.

Page 3: 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.

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

Page 4: 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.

Describe the Rotation in 2 ways.

120˚ Counter Clockwise

240˚ Clockwise

Page 5: 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.

Describe the Rotation in 2 ways.

55˚ Clockwise305˚ Counter Clockwise

Page 6: 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.

Describe the Rotation in 2 ways.

175˚ Clockwise185˚ Counter Clockwise

Page 7: 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.

Describe the Rotation in 2 ways.

165˚ Counter Clockwise195˚ Clockwise

Page 8: 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.

Estimate the angle and direction of the rotation.

About 85˚ Counter Clockwise

Page 9: 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.

Estimate the angle and direction of the rotation.

About 60˚ Counter Clockwise

Page 10: 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.

Estimate the angle and direction of the rotation.

About 140˚ Clockwise

Page 11: 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.

Rotation Activity

Page 12: 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.

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)

Page 13: 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.

• 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’


Centrifuges. A centrifuge is a piece of equipment, generally driven by a motor, that puts an object in rotation around a fixed axis, applying force perpendicular.

Centrifuges. A centrifuge is a piece of equipment, generally driven by a motor, that puts an object in rotation around a fixed axis, applying force perpendicular.

ATTITUDE DETERMINATION, CONTROL AND OPERATING …geo-pointed, to rotate around the pitch axis with a rotation every orbital period. The required pointing accuracy shall be around 5°

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BLM 13.3a, 13.1 a,b,c. Rotation – the spinning of an object around it’s axis. Axis runs North to South. One rotation of the Earth takes 24 hours. (East)

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Astronomical Terms Rotation –Motion around an axis –Produces day/night From: physicalgeography.net.

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