8.10C Transformations-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 does a 90 degrees clockwise rotation do to a point (x, y)?

Back

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

Front

What does a 90 degrees counterclockwise rotation do to a point (x, y)?

Back

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

Front

What is the rule for a 180 degrees rotation about the origin?

Back

The rule is (x, y) → (-x, -y).

Front

How do you determine the angle of rotation when comparing two figures?

Back

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

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

If a triangle is rotated 270 degrees counterclockwise, what is the transformation rule?

Back

The transformation rule is (x, y) → (y, -x).

Front

What happens to the coordinates of a point when it is rotated 180 degrees?

Back

The coordinates of the point change from (x, y) to (-x, -y).

Front

How can you visualize a rotation transformation?

Back

You can visualize a rotation by drawing the original figure and then using a protractor to measure the angle of rotation around the center.

Front

What is the effect of a 90 degrees clockwise rotation on the orientation of a figure?

Back

The figure will appear to be turned to the right by 90 degrees.