Understand Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What does 'translation' mean in rigid transformations?

Back

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

Front

What is 'rotation' in the context of rigid transformations?

Back

A transformation that turns a figure around a fixed point called the center of rotation.

Front

Define 'reflection' in rigid transformations.

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection?

Back

The line over which a figure is reflected to create a mirror image.

Front

How can you identify a translation?

Back

By observing that all points of the figure move the same distance in the same direction.

Front

What is the effect of a rotation on a figure?

Back

It changes the position of the figure but not its shape or size.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips it over a line.

Front

Can a rigid transformation change the size of a figure?

Back

No, rigid transformations do not change the size or shape of a figure.

Front

What is an example of a real-life application of rigid transformations?

Back

Designing patterns in art or architecture, where shapes need to be repeated without distortion.