Unit 1 Rotations assignment

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° counterclockwise rotation about the origin do to a point (x, y)?

Back

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

Front

What does a 180° rotation about the origin do to a point (x, y)?

Back

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

Front

What does a 270° clockwise rotation about the origin do to a point (x, y)?

Back

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

Front

If point A(3, 4) is rotated 90° counterclockwise about the origin, what are the new coordinates of A'?

Back

A' will be (-4, 3).

Front

If point B(-2, 5) is rotated 180° about the origin, what are the new coordinates of B'?

Back

B' will be (2, -5).

Front

What is the angle of rotation for a full rotation?

Back

360°.

Front

If a point (x, y) is rotated 90° clockwise, what are the new coordinates?

Back

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

Front

What is the effect of a 270° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is the center of rotation in a geometric transformation?

Back

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