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.

Tags

CCSS.HSG.CO.B.6

Front

What are the types of rigid motions?

Back

The three types of rigid motions are translations, rotations, and reflections.

Tags

CCSS.8.G.A.3

Front

Define translation in the context of rigid motions.

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in rigid motions?

Back

A rotation is a rigid motion that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in rigid motions?

Back

A reflection is a rigid motion that flips a figure over a line, creating a mirror image.

Tags

CCSS.HSG.CO.B.6

Front

True or False: Rigid motions change the size of a figure.

Back

False. Rigid motions do not change the size or shape of a figure.

Tags

CCSS.HSG.CO.B.6

Front

What does it mean to preserve angle measure in rigid motions?

Back

It means that the angles in the figure remain the same before and after the transformation.

Tags

CCSS.HSG.CO.B.6

Front

How do you perform a 90-degree clockwise rotation?

Back

To perform a 90-degree clockwise rotation, move each point of the figure to a new position that is 90 degrees to the right around the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a figure over the x-axis?

Back

Reflecting a figure over the x-axis flips it vertically, changing the sign of the y-coordinates of the points.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a figure over the y-axis?

Back

Reflecting a figure over the y-axis flips it horizontally, changing the sign of the x-coordinates of the points.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5