Rotations

Front

What is rotation in geometry?

Back

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 turns a figure 90 degrees to the left around the center of rotation.

Front

How do you rotate a point (x, y) 90° counterclockwise around the origin?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

How do you rotate a point (x, y) 90° clockwise around the origin?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

What are the new coordinates of the point (3, 4) after a 180° rotation around the origin?

Back

The new coordinates are (-3, -4).

Front

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

Back

A 180° rotation flips the point to the opposite side of the center of rotation, resulting in coordinates (-x, -y).

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 a triangle is rotated 90° clockwise, what happens to its orientation?

Back

The triangle's orientation changes, and its vertices move to new positions based on the rotation.

Front

What is the image of the point (5, -2) after a 90° counterclockwise rotation?

Back

The image is (2, 5).