Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific 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 many degrees are in a full rotation?

Back

A full rotation is 360 degrees.

Front

What does a 90-degree clockwise rotation look like?

Back

A 90-degree clockwise rotation turns the figure to the right, moving each point to a new position that is 90 degrees around the center.

Front

What does a 90-degree counterclockwise rotation look like?

Back

A 90-degree counterclockwise rotation turns the figure to the left, moving each point to a new position that is 90 degrees around the center.

Front

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

Back

The result is (-x, -y), meaning both coordinates change their signs.

Front

If a figure 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 is the effect of rotating a figure 0 degrees?

Back

Rotating a figure 0 degrees means the figure remains in its original position.

Front

How do you determine the angle of rotation from a given image?

Back

You can determine the angle of rotation by measuring the angle formed between the original position and the new position of the figure.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line, creating a mirror image.