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 is a translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What does it mean to map a figure?

Back

To apply a transformation to a figure to change its position or orientation.

Front

What is the effect of a translation on a figure?

Back

It moves the figure to a new location without altering its shape or size.

Front

How do you describe a reflection across the x-axis?

Back

The y-coordinates of the points are inverted, while the x-coordinates remain the same.

Front

How do you describe a reflection across the y-axis?

Back

The x-coordinates of the points are inverted, while the y-coordinates remain the same.

Front

What is the sequence of transformations?

Back

The order in which multiple transformations are applied to a figure.

Front

What is the difference between a rotation and a reflection?

Back

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