Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.

Front

What are the three types of rigid transformations?

Back

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 in a straight line from one position to another without changing its shape or orientation.

Front

Define rotation in the context of 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

Define reflection in the context of 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 happens to the size and shape of a figure during a rigid transformation?

Back

The size and shape of a figure remain unchanged during a rigid transformation.

Front

How can you identify a reflection transformation?

Back

A reflection transformation can be identified by the presence of a line of reflection where each point of the original figure is equidistant from the line to the corresponding point in the reflected figure.

Front

How can you identify a rotation transformation?

Back

A rotation transformation can be identified by the turning of a figure around a fixed point by a specific angle, maintaining the distance from the center of rotation.

Front

How can you identify a translation transformation?

Back

A translation transformation can be identified by the movement of a figure in a straight line to a new position without any rotation or flipping.

Front

What is the effect of a 180-degree rotation on a figure?

Back

A 180-degree rotation turns a figure upside down, effectively reversing its orientation.