Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translation, rotation, and reflection.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that moves every point of a figure the same distance in the same direction.

Front

What is reflection in rigid transformations?

Back

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

Front

Explain rotation in rigid transformations.

Back

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

Front

What is the difference between reflection and rotation?

Back

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

Front

Can a rigid transformation change the size of a figure?

Back

No, a rigid transformation does not change the size or shape of a figure.

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

Give an example of a translation.

Back

Moving a triangle 5 units to the right and 3 units up is an example of translation.

Front

How do you identify a reflection in a figure?

Back

A reflection can be identified by looking for a line that divides the figure into two mirror-image halves.