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Transformations: Rotations

phipps, avery.js, Mary Katherine Kittrell, Lynn Martineau, Mar 25, 2021

Transformations: Rotatons

1. Clockwise Rotations
2. Counterclockwise Rotations
3. Rotations around points other than the origin
4. Rotating 180 degrees about the origin.
5. Finding the Center of Rotation

Information

1.

Clockwise Rotations

What is a rotation?

Rotations are simply "spins" or "turns" around a point; sometimes that point is the origin, sometimes it is not. Rotations are considered rigid transformations because they preserve the same shape and size of the original object. Clockwise --> This is a rotation in the same direction as the numbers on a clock.

A rotation of

clockwise about the origin will map (x, y) -->

(-y, x) (-x, -y) (y, -x) (x, -y)

A rotation of

clockwise about the origin will map (x, y) -->

(y, -x) (-x, -y) (-y, x) (x, -y)

A rotation of

clockwise is the same as a reflection over y = x.

false true

– Lynn Martineau, linfanca

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Transformations: Rotations

Information

1.

Clockwise Rotations

What is a rotation?

2.

3.

4.

5.