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 geometry?

Back

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

Front

What is a 'reflection' in rigid transformations?

Back

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

Front

Define 'rotation' in the context of rigid transformations.

Back

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

Front

What is the center of rotation?

Back

The fixed point around which a figure rotates during a rotation transformation.

Front

How can you identify a translation of a figure?

Back

By observing that the figure has moved to a new location without changing its orientation or size.

Front

What is the difference between a reflection and a rotation?

Back

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

Front

What does it mean for a transformation to be 'rigid'?

Back

It means that the transformation does not alter the size or shape of the figure.

Front

Can a rigid transformation change the orientation of a figure?

Back

Yes, a reflection changes the orientation, while translation and rotation do not.

Front

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

Back

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