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 slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is 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

Explain 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 is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected in a reflection transformation.

Front

How does a translation affect the coordinates of a point?

Back

In a translation, each point of the figure moves the same distance in the same direction, changing its coordinates accordingly.

Front

What happens to a figure during a rotation?

Back

During a rotation, the figure maintains its shape and size but changes its position and orientation based on the angle of rotation.

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; it only changes its position or orientation.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line, creating a mirror image.

Front

Provide an example of a translation.

Back

An example of a translation is moving a triangle 5 units to the right and 3 units up.