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 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 a point (x, y)?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

The new coordinates after a 180° rotation are (-x, -y).

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 image of point J (8, -6) after a 180° counterclockwise rotation?

Back

The image is J' (-8, 6).

Front

Which rule describes rotating 90° clockwise?

Back

The rule is (x, y) → (y, -x).

Front

Which rule describes rotating 180° clockwise?

Back

The rule is (x, y) → (-x, -y).

Front

What happens to the coordinates of a triangle when it is rotated 90° counterclockwise?

Back

The coordinates of each vertex of the triangle are transformed according to the rule (x, y) → (-y, x).