Rigid Transformations #2

Front

What is a rigid transformation?

Back

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

Front

What is translation in rigid transformations?

Back

Translation is a rigid transformation that slides a figure from one position to another without turning or flipping it.

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

What is reflection in rigid transformations?

Back

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

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 is the center of rotation?

Back

The center of rotation is the fixed point around which a figure rotates during a rotation transformation.

Front

What does it mean to describe a movement as a 'slide'?

Back

A 'slide' refers to the movement of a figure during a translation, where the figure moves smoothly from one location to another without changing its orientation.

Front

What does it mean to describe a movement as a 'turn'?

Back

A 'turn' refers to the movement of a figure during a rotation, where the figure spins around a point.

Front

What does it mean to describe a movement as a 'flip'?

Back

A 'flip' refers to the movement of a figure during a reflection, where the figure is mirrored over a line.

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.