﻿ Definition and examples of similar figures | define similar figures - geometry - Free Math Dictionary Online

# Similar Figures

## Definition of Similar Figures

Similar figures are figures that have the same shape but not necessarily the same size.

• Any two corresponding sides in two similar figures have a common ratio called the scale factor.The trapezoids ABCD and EFGH shown above are similar. So,
• The ratio of areas of two similar figures is the square of the scale factor.
• The ratio of volumes of two similar figures is the cube of the scale factor.

### Example of Similar Figures

Find the value of x, if the figures are similar.

### Solution:

Step 1: Since the figures are similar, the ratios of the lengths of corresponding sides of the figures are equal.
Step 2:  [Write the proportion.]
Step 3:   [Substitute the values.]
Step 4: 12 × x = 5 × 6 [Write the cross products.]
Step 5:  [Divide both sides by 12.]
Step 6:  [Simplify.]
Step 7:  [Convert improper fraction into mixed number.]
Step 8: The value of x is .

Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student