Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle in a specified 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 does a 90° counterclockwise rotation look like?

Back

A 90° counterclockwise rotation moves a point (x, y) to (-y, x).

Front

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

Back

A 180° rotation moves a point (x, y) to (-x, -y).

Front

What is the result of rotating the point (2, 3) 90° counterclockwise?

Back

The result is (-3, 2).

Front

How do you rotate a point 270° counterclockwise?

Back

To rotate a point (x, y) 270° counterclockwise, move it to (y, -x).

Front

What is the effect of a 360° rotation on a point?

Back

A 360° rotation returns the point to its original position.

Front

If point A(1, 2) is rotated 180° around the origin, what are the new coordinates?

Back

The new coordinates are (-1, -2).

Front

What is the rule for rotating a point (x, y) 90° clockwise?

Back

The rule is (x, y) → (y, -x).

Front

What happens to a triangle when it is rotated 270° counterclockwise?

Back

The triangle's orientation changes, and its vertices are repositioned according to the rotation rule.