Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle in a specific direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to rotate 90 degrees counterclockwise about the origin?

Back

It means to turn a figure 90 degrees in the opposite direction of the clock's hands around the origin point (0,0) on a coordinate plane.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to rotate 90 degrees clockwise about the origin?

Back

It means to turn a figure 90 degrees in the same direction as the clock's hands around the origin point (0,0) on a coordinate plane.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise?

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 90 degrees clockwise?

Back

The new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 180 degrees about the origin?

Back

The new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the angle of rotation in a transformation?

Back

The angle of rotation is the measure of the turn from the original position to the new position, measured in degrees.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the same direction as the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you visualize a rotation on a coordinate plane?

Back

You can visualize a rotation by plotting the original points and then applying the rotation rules to find the new positions.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5