Geometric Transformations Rotations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle.

Front

What is the center of rotation?

Back

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

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around the center of rotation.

Front

Describe a 90° clockwise rotation.

Back

A 90° clockwise rotation turns a figure 90 degrees to the right around the center of rotation.

Front

Describe a 270° counterclockwise rotation.

Back

A 270° counterclockwise rotation turns a figure 270 degrees to the left around the center of rotation.

Front

What is the rule for a 180° rotation about the origin?

Back

The rule for a 180° rotation about the origin is (x, y) → (-x, -y).

Front

How does rotation affect the size of a figure?

Back

Rotation does not change the size of a figure; it preserves the shape and size.

Front

What happens to the angles of a figure during rotation?

Back

The angles of a figure remain unchanged during rotation.

Front

If triangle A is rotated 90° clockwise, how do the coordinates change?

Back

If triangle A has coordinates (x, y), after a 90° clockwise rotation, the new coordinates will be (y, -x).