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 certain angle in a specified direction.

Front

What does it mean to rotate 90 degrees clockwise about the origin?

Back

To rotate 90 degrees clockwise about the origin means to turn a point or figure 90 degrees in the direction of the clock hands, around the origin (0,0) as the center.

Front

What does it mean to rotate 90 degrees counterclockwise about the origin?

Back

To rotate 90 degrees counterclockwise about the origin means to turn a point or figure 90 degrees in the opposite direction of the clock hands, around the origin (0,0) as the center.

Front

What is the result of rotating a point (x, y) 90 degrees clockwise about the origin?

Back

The new coordinates will be (y, -x).

Front

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

Back

The new coordinates will be (-y, x).

Front

What is the result of rotating a point (x, y) 180 degrees about the origin?

Back

The new coordinates will be (-x, -y).

Front

How can you determine the angle of rotation in a transformation?

Back

The angle of rotation can be determined by measuring the angle formed between the original position of the figure and its new position, with the center of rotation as the vertex.

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 difference between clockwise and counterclockwise rotation?

Back

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

Front

How does rotating a figure affect its size and shape?

Back

Rotating a figure does not change its size or shape; it only changes its position.