Rigid Transformations

Front

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

What is the result of reflecting the point (-5,2) over the y-axis?

Back

(5,2)

Front

What is a turn in geometry also called?

Back

Rotation

Front

What is the definition of a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto a new figure.

Front

What is a translation in geometry?

Back

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

Front

What does a reflection do to a shape?

Back

A reflection flips a shape over a line, creating a mirror image.

Front

What is the line of reflection for the point (3,4) reflected over the y-axis?

Back

The line of reflection is the y-axis.

Front

How do you identify a rotation?

Back

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

Front

What is the effect of a 90-degree rotation clockwise on the point (x,y)?

Back

The new coordinates will be (y,-x).

Front

What is the effect of a 180-degree rotation on the point (x,y)?

Back

The new coordinates will be (-x,-y).