Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.

Front

What are the types of rigid transformations?

Back

The types of rigid transformations include translation, rotation, and reflection.

Front

What is translation in geometry?

Back

Translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is reflection in geometry?

Back

Reflection is a rigid transformation that flips a figure over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

Rotation is a rigid transformation that turns a figure around a fixed point at a certain angle.

Front

What does it mean for a transformation to be congruent?

Back

A transformation is congruent if the original figure and the transformed figure have the same size and shape.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

What is the center of rotation?

Back

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

Front

How do you describe a translation vector?

Back

A translation vector describes the direction and distance a figure is moved during a translation.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line.