All 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

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 shape from one location to another without changing its size, shape, or orientation.

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

What is a reflection?

Back

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

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape by a scale factor, while maintaining its shape.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during a dilation.

Front

How do you represent a dilation mathematically?

Back

A dilation can be represented as (x, y) → (kx, ky), where k is the scale factor.

Front

What happens to a shape when the scale factor is greater than 1?

Back

When the scale factor is greater than 1, the shape enlarges.

Front

What happens to a shape when the scale factor is less than 1?

Back

When the scale factor is less than 1, the shape reduces in size.