Rotations on the Coordinate Plane (8th)

Front

What is a rotation in geometry?

Back

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

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 angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around the center of rotation.

Front

What is the image of a point after a 180° rotation around the origin?

Back

The image of a point (x, y) after a 180° rotation around the origin is (-x, -y).

Front

What is the image of the point (3, 4) after a 90° counterclockwise rotation around the origin?

Back

The image is (-4, 3).

Front

What is the image of the point (5, -2) after a 270° counterclockwise rotation around the origin?

Back

The image is (-2, -5).

Front

What is the rule for a 270° clockwise rotation?

Back

The rule is (x, y) → (y, -x).

Front

What happens to the coordinates of a point after a 90° clockwise rotation?

Back

The coordinates change from (x, y) to (y, -x).

Front

What is another term for rotation?

Back

Turn.

Front

How do you determine the new position of a triangle after rotation?

Back

You apply the rotation rules to each vertex of the triangle to find the new coordinates.