Rotations Practice

Front

What is a rotation in geometry?

Back

A rotation in geometry 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

How do you determine the angle of rotation?

Back

The angle of rotation is determined by the degree measure of the turn from the original position of the figure to its new position.

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

What happens to the coordinates of a point when it is rotated 90 degrees clockwise around the origin?

Back

When a point (x, y) is rotated 90 degrees clockwise around the origin, its new coordinates become (y, -x).

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise around the origin?

Back

When a point (x, y) is rotated 90 degrees counterclockwise around the origin, its new coordinates become (-y, x).

Front

What are the new coordinates of point (x, y) after a 180-degree rotation around the origin?

Back

After a 180-degree rotation around the origin, the new coordinates of point (x, y) become (-x, -y).

Front

If a figure is rotated 90 degrees clockwise, how does it affect the orientation of the figure?

Back

The orientation of the figure changes, as the positions of the points are altered based on the rotation direction.

Front

What is the result of rotating a point (a, b) 180 degrees counterclockwise around the origin?

Back

The result is the point (-a, -b).

Front

How can you verify if two images are rotations of each other?

Back

You can verify if two images are rotations of each other by checking if they have the same shape and size and if one can be obtained from the other through a rotation about a fixed point.