Rotations on a Coordinate Plane

Front

What is a rotation on a coordinate plane?

Back

A rotation on a coordinate plane is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a clockwise or counterclockwise direction.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated. In most cases, it is the origin (0,0) on the coordinate plane.

Front

How do you rotate a point 90 degrees clockwise?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Front

How do you rotate a point 90 degrees counterclockwise?

Back

To rotate a point (x, y) 90 degrees counterclockwise, the new coordinates will be (-y, x).

Front

What are the coordinates of point B(1, -8) after a 90-degree clockwise rotation?

Back

The coordinates of point B after a 90-degree clockwise rotation are (-8, -1).

Front

What is the result of rotating a point 180 degrees?

Back

Rotating a point (x, y) 180 degrees results in the coordinates (-x, -y).

Front

If a point remains unchanged after rotation, what degree of rotation has occurred?

Back

If a point remains unchanged after rotation, it has undergone a 360-degree rotation.

Front

What is the effect of a 180-degree rotation on a triangle?

Back

A 180-degree rotation of a triangle flips it to the opposite side of the center of rotation, effectively reversing its orientation.

Front

How do you determine the degree of rotation if a point moves from (3, 2) to (-3, -2)?

Back

The movement from (3, 2) to (-3, -2) represents a 180-degree counterclockwise rotation.

Front

What happens to the coordinates of a point when it is rotated 270 degrees clockwise?

Back

When a point (x, y) is rotated 270 degrees clockwise, the new coordinates will be (-y, x).