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 three main types of transformations.

Back

Translation, Reflection, Rotation.

Front

What is a translation?

Back

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

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, called the center of rotation, by a certain angle.

Front

How do you perform a 180° rotation about the origin?

Back

To rotate a point (x, y) 180° about the origin, the new coordinates will be (-x, -y).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

The shape will increase in size.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

The shape will decrease in size.

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.