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 rule for a 90 degrees clockwise rotation is (x, y) → (y, -x).

Front

What does a 90 degrees counter-clockwise rotation do to a point (x, y)?

Back

The rule for a 90 degrees counter-clockwise rotation is (x, y) → (-y, x).

Front

What is the result of a 180 degrees rotation on point (x, y)?

Back

The rule for a 180 degrees rotation is (x, y) → (-x, -y).

Front

How do you identify a 270 degrees counter-clockwise rotation?

Back

A 270 degrees counter-clockwise rotation is equivalent to a 90 degrees clockwise rotation, following the rule (x, y) → (y, -x).

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 figure is rotated 180 degrees, what happens to its orientation?

Back

The figure will be flipped upside down, maintaining its shape and size.

Front

What is the angle of rotation for a full turn?

Back

The angle of rotation for a full turn is 360 degrees.

Front

How can you determine the angle of rotation from one position to another?

Back

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

Front

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

Back

The square will maintain its shape but will be oriented differently, with its corners moving to new positions.