Identifying 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 distance between points remains unchanged.

Front

List the three types of rigid transformations.

Back

The three types of rigid transformations are translation, rotation, and reflection.

Front

What is translation in the context of rigid transformations?

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

Define rotation in rigid transformations.

Back

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

Front

What is reflection in rigid transformations?

Back

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

Front

What does it mean for a transformation to be 'not rigid'?

Back

A transformation is not rigid if it alters the shape or size of a figure, such as stretching or compressing.

Front

How does a 90-degree clockwise rotation affect a figure?

Back

A 90-degree clockwise rotation turns the figure 90 degrees to the right around the center of rotation.

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

Can a rigid transformation change the orientation of a figure?

Back

Yes, a rigid transformation can change the orientation of a figure, as seen in reflections and rotations.

Front

What is the difference between a rotation and a reflection?

Back

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