Rotation Transformations

Front

What is a rotation transformation?

Back

A rotation transformation is a movement of a figure around a fixed point, called the center of rotation, by a certain angle in a specified direction (clockwise or counterclockwise).

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

90° counterclockwise rotation moves points in a circular path around the origin, turning them 90 degrees to the left.

Front

What is the angle of rotation for a 180° rotation?

Back

A 180° rotation flips a figure to the opposite side of the center of rotation, effectively reversing its position.

Front

How many quadrants are there on a coordinate plane?

Back

There are 4 quadrants on a coordinate plane.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° clockwise?

Back

The coordinates change from (x, y) to (y, -x) after a 90° clockwise rotation.

Front

What happens to the coordinates of a point (x, y) when it is rotated 180°?

Back

The coordinates change from (x, y) to (-x, -y) after a 180° rotation.

Front

What happens to the coordinates of a point (x, y) when it is rotated 270° counterclockwise?

Back

The coordinates change from (x, y) to (-y, x) after a 270° counterclockwise rotation.

Front

What is the effect of translating a point (x, y) by (0, +6)?

Back

The point moves 6 units up, resulting in the new coordinates (x, y+6).

Front

What is the effect of translating a point (x, y) by (0, -6)?

Back

The point moves 6 units down, resulting in the new coordinates (x, y-6).

Front

What is the center of rotation?

Back

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