Transformations

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

A translation moves a figure from one location to another without changing its shape or size.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What is a dilation?

Back

A dilation changes the size of a figure but keeps its shape, either enlarging or reducing it.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

How does a 180-degree rotation affect the orientation of a figure?

Back

A 180-degree rotation reverses the orientation of a figure.

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

The coordinates become (-x, y).

Front

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

The coordinates become (x, -y).