Sequences of Rigid Motions

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What are the three types of rigid motions?

Back

Translation, Reflection, and Rotation.

Front

What is translation in rigid motions?

Back

A 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 rigid motions?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is rotation in rigid motions?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

What does it mean to perform a sequence of transformations?

Back

To apply two or more transformations one after the other to a figure.

Front

What is the result of a translation followed by a reflection?

Back

The figure is first moved to a new position and then flipped over a line.

Front

What is the result of a rotation followed by a translation?

Back

The figure is first turned around a point and then moved to a new position.

Front

How do you identify the order of transformations?

Back

By analyzing the final position and orientation of the figure after each transformation.

Front

What is the effect of performing two reflections?

Back

Two reflections across parallel lines result in a translation, while two reflections across intersecting lines result in a rotation.