Identifying 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 it mean to translate a figure?

Back

To slide a figure in a straight line from one position to another without rotating or flipping it.

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?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

What is the fixed point called in a rotation?

Back

The center of rotation.

Front

What is the difference between translation and reflection?

Back

Translation slides a figure without changing its orientation, while reflection flips it over a line.

Front

What is the term for a transformation that enlarges or reduces a figure?

Back

Dilation.

Front

If a figure is reflected over the x-axis, what happens to its coordinates?

Back

The y-coordinates of the points are multiplied by -1.

Front

What is the result of rotating a figure 90 degrees clockwise?

Back

The coordinates of each point (x, y) become (y, -x).

Front

What is the term for moving a figure without changing its size or shape?

Back

Rigid transformation.