Rotations and Symmetry

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 specified angle in a specified direction.

Front

What is the angle of rotation for a 180° clockwise rotation?

Back

The angle of rotation is 180°, which means the figure is turned halfway around the center of rotation.

Front

How do you determine the new coordinates of a point after a 90° clockwise rotation?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Front

What is symmetry in geometry?

Back

Symmetry is a property where a shape or figure can be divided into parts that are identical or mirror images of each other.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation is in the direction of the hands of a clock, while counterclockwise rotation is in the opposite direction.

Front

How do you find the angle of rotation when given original and rotated coordinates?

Back

You can find the angle of rotation by analyzing the change in coordinates and using trigonometric functions or geometric reasoning.

Front

What is the rule for rotating a point 180° about the origin?

Back

The rule for rotating a point (x, y) 180° about the origin is to change both coordinates to their opposites: (-x, -y).

Front

How do you rotate a point 270° clockwise?

Back

To rotate a point (x, y) 270° clockwise, the new coordinates will be (-y, x).

Front

What is the significance of the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated, and it remains unchanged during the rotation.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including rotations, translations, reflections, and dilations.