Rigid Transformations

Front

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What does it mean to reflect a shape across the y-axis?

Back

To reflect a shape across the y-axis means to flip it over the y-axis, creating a mirror image.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

Describe a 90-degree clockwise rotation around the origin.

Back

A 90-degree clockwise rotation moves points in a shape to a new position by turning them 90 degrees to the right around the origin.

Front

What is the result of reflecting a shape across the x-axis?

Back

The shape is flipped over the x-axis, changing the sign of the y-coordinates of its points.

Front

How do you describe a transformation that moves a shape up and to the right?

Back

This transformation is called a translation.

Front

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

Back

A 180-degree rotation turns the shape upside down, reversing its position.

Front

What is the difference between a rotation and a reflection?

Back

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