# Understanding Scale Factor and Dilations in Homework 6

Scale factor and dilations are important concepts to understand when solving Homework 6. In mathematics, scale factor and dilations are used to describe a transformation of a shape in which the shape is enlarged or reduced by a certain factor. This factor could be any number, positive or negative, and is used to calculate the new size of the shape. By understanding scale factor and dilations, students can complete Homework 6 efficiently and accurately.

## What is a Scale Factor?

A scale factor is a number that is used to calculate the size of a shape after it has been transformed. The scale factor is applied to all dimensions of the shape and is used to determine how much larger or smaller the shape will be. For example, if a shape is enlarged by a scale factor of 2, then the dimensions of the shape will double in size. On the other hand, if a shape is reduced by a scale factor of 2, then the dimensions of the shape will be halved.

## What is a Dilation?

A dilation is a type of transformation in which a shape is enlarged or reduced without changing its orientation or shape. When a shape is dilated, the scale factor is applied to all dimensions of the shape in order to calculate the new size of the shape. For example, if a shape is dilated by a scale factor of 3, then the dimensions of the shape will triple in size. On the other hand, if a shape is dilated by a scale factor of 0.5, then the dimensions of the shape will be halved.

## How to Use Scale Factor and Dilations to Solve Homework 6

In order to solve Homework 6, students must understand how to use scale factor and dilations to calculate the size of a shape after it has been transformed. Students will need to identify the scale factor and use it to calculate the new size of the shape. Students may also need to calculate the coordinates of the shape after it has been transformed. This can be done by using the scale factor to calculate the new x- and y-coordinates of the shape.

## Conclusion

Scale factor and dilations are important concepts to understand when solving Homework 6. By using the scale factor and understanding how to calculate the new size of a shape after it has been transformed, students can complete Homework 6 efficiently and accurately. With a basic understanding of scale factor and dilations, students can easily master Homework 6.