Rigid Transformations

Front

What are rigid transformations?

Back

Rigid transformations are movements of figures in a plane that preserve distance and angle measures. They include translations, rotations, and reflections.

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 during a rotation transformation.

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

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, known as the line of reflection, creating a mirror image.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped during a reflection transformation.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its size, shape, or orientation.

Front

How do you describe a translation?

Back

A translation can be described by a vector that indicates the direction and distance the figure is moved.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line, creating a mirror image.

Front

What is the effect of a 180-degree rotation?

Back

A 180-degree rotation results in a figure being turned upside down, effectively reversing its orientation.