Question

The triangle E'F'G' is a dilation of the triangle EFG. What is the scale factor of the dilation?

Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Answer 1

Answer: The scale factor of the dilation is 4.

Explanation:

I determined this by taking the value of the x-axis of each letter (i.e. E', F', and G') of the larger shape and dividing them by the value of the x-axis of each letter (i.e. E, F, and G) of the smaller shape.

Ex. E' = 8 units; E = 2 units

`ScaleFactor = (8)/(2) = 4`

This process also works for the y-axis too and you will get the same answer.

Ex. E' = 4 units; E = 1 unit

`ScaleFactor = (4)/(1) = 4`

Important Points:

General Scale Factor equation:

Scale Factor = Larger Dimension / Small Dimension