Rotations

Front

What is rotation in geometry?

Back

Rotation in geometry refers to the circular movement of a shape around a fixed point, known as the center of rotation.

Front

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

Back

When a point (x, y) is rotated 180 degrees, its coordinates become (-x, -y).

Front

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

Back

A counterclockwise rotation of 90 degrees is equivalent to a clockwise rotation of 270 degrees.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape rotates.

Front

How do you determine the new coordinates of a point after a rotation?

Back

To determine the new coordinates of a point after a rotation, apply the appropriate rotation transformation based on the angle and direction of rotation.

Front

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

Back

The new coordinates after rotating (3, 4) 90 degrees counterclockwise about the origin are (-4, 3).

Front

What is the effect of a 360-degree rotation on a shape?

Back

A 360-degree rotation returns the shape to its original position.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

If a shape is rotated 270 degrees counterclockwise, what is the equivalent clockwise rotation?

Back

A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

Front

What are the coordinates of point B' if point B(3, 5) is rotated 180 degrees about the origin?

Back

The coordinates of point B' after rotating B(3, 5) 180 degrees about the origin are (-3, -5).