Rotations

Front

What is a rotation in geometry?

Back

A rotation in geometry 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 180° rotation about the origin?

Back

The coordinates of a point (x, y) after a 180° rotation about the origin are (-x, -y).

Front

How do you determine the new coordinates of a point after a 90° clockwise rotation about the origin?

Back

To determine the new coordinates of a point (x, y) after a 90° clockwise rotation about the origin, the new coordinates will be (y, -x).

Front

What is the angle of rotation for a counterclockwise rotation?

Back

The angle of rotation for a counterclockwise rotation is measured in degrees from the positive x-axis, moving in the direction of the positive y-axis.

Front

What is the result of rotating the point (3, 4) 90° counterclockwise about the origin?

Back

The result of rotating the point (3, 4) 90° counterclockwise about the origin is (-4, 3).

Front

What is the rule for rotating a point 270° counterclockwise about the origin?

Back

The rule for rotating a point (x, y) 270° counterclockwise about the origin is (y, -x).

Front

What happens to the coordinates of a point when it is rotated 180° clockwise?

Back

When a point is rotated 180° clockwise, its coordinates change from (x, y) to (-x, -y).

Front

How can you visualize a rotation transformation?

Back

You can visualize a rotation transformation by imagining the figure being turned around a fixed point, like a clock hand moving around the center.

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° clockwise rotation on the coordinates of a triangle's vertices?

Back

A 90° clockwise rotation will change the coordinates of each vertex (x, y) to (y, -x).