Transformations

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

Name the four main types of transformations.

Back

Translation, Reflection, Rotation, Dilation.

Front

What is a translation?

Back

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

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point at a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What happens to the coordinates of a point when it is rotated 90° clockwise?

Back

The coordinates (x, y) become (y, -x).

Front

What happens to the coordinates of a point when it is rotated 180° about the origin?

Back

The coordinates (x, y) become (-x, -y).

Front

How do you identify a reflection transformation?

Back

A reflection transformation can be identified by the symmetry of the original shape and its image.