Rigid Motions and Symmetry

Front

What is a rigid motion?

Back

A transformation that preserves size and shape, meaning the figure remains congruent after the transformation.

Front

What are the types of rigid motions?

Back

Translation, rotation, and reflection.

Front

What does it mean for a transformation to preserve orientation?

Back

It means that the order of points in the figure remains the same after the transformation.

Front

What is the angle of rotation for a regular octagon to map onto itself?

Back

45 degrees.

Front

What is the orientation of a rectangle after a counterclockwise rotation?

Back

The orientation remains the same as the original rectangle.

Front

What is the effect of a reflection on a figure?

Back

It creates a mirror image of the figure, reversing its orientation.

Front

How does a translation affect a figure?

Back

It moves the figure from one location to another without changing its size, shape, or orientation.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of a clock's hands, while counterclockwise moves in the opposite direction.

Front

What is the result of a 180-degree rotation of a figure?

Back

The figure is turned upside down, and its orientation is reversed.

Front

What is the significance of angle measures in rigid motions?

Back

Angle measures remain unchanged during rigid motions, preserving the shape of the figure.