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

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

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

Front

What is the rule for a 90° clockwise rotation?

Back

The rule is (x, y) → (y, -x).

Front

If point A(2, 3) is rotated 90° clockwise about the origin, what are the new coordinates of A'?

Back

A' will be (3, -2).

Front

What is the effect of a 180° rotation on a triangle?

Back

A 180° rotation flips the triangle to the opposite side of the center of rotation, maintaining its shape and size.

Front

How do you determine the new position of a shape after rotation?

Back

You apply the rotation rules to each vertex of the shape based on the angle and direction of rotation.

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

If triangle B is rotated 90° counterclockwise, what is the new position of point B(4, 1)?

Back

The new coordinates will be (-1, 4).

Front

What is the angle of rotation for a full turn?

Back

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