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 specified angle in a specified direction.

Front

What are the coordinates of a point after a 90-degree counterclockwise rotation around the origin?

Back

If a point (x, y) is rotated 90 degrees counterclockwise around the origin, its new coordinates will be (-y, x).

Front

What are the coordinates of a point after a 180-degree rotation around the origin?

Back

If a point (x, y) is rotated 180 degrees around the origin, its new coordinates will be (-x, -y).

Front

What are the coordinates of a point after a 270-degree counterclockwise rotation around the origin?

Back

If a point (x, y) is rotated 270 degrees counterclockwise around the origin, its new coordinates will be (y, -x).

Front

How do you determine the image of a point after a rotation?

Back

To determine the image of a point after a rotation, apply the appropriate rotation rule based on the angle and direction of rotation.

Front

What is the center of rotation?

Back

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

Front

What is the effect of a 90-degree clockwise rotation on the coordinates of a point?

Back

If a point (x, y) is rotated 90 degrees clockwise around the origin, its new coordinates will be (y, -x).

Front

What happens to the coordinates of a point when it is rotated 360 degrees?

Back

When a point is rotated 360 degrees around the origin, its coordinates remain unchanged.

Front

What is the relationship between clockwise and counterclockwise rotations?

Back

Clockwise rotations are in the direction of the hands of a clock, while counterclockwise rotations are in the opposite direction.

Front

How can you visualize a rotation transformation?

Back

You can visualize a rotation transformation by drawing the original figure, marking the center of rotation, and then sketching the new position of the figure after the rotation.