﻿ Definition and examples of scale factor | define scale factor - geometry - Free Math Dictionary Online

# Scale Factor

## Definition of Scale Factor

The ratio of any two corresponding lengths in two similar geometric figures is called as Scale Factor.
The ratio of the length of the scale drawing to the corresponding length of the actual object is called as Scale Factor.

• A scale factor is a number used as a multiplier in scaling.
• A scale factor is used to scale shapes in 1, 2, or 3 dimensions.
• Scale factor can be found in the following scenarios:
• 1. Size Transformation: In size transformation, the scale factor is the ratio of expressing the amount of magnification.
2. Scale Drawing: In scale drawing, the scale factor is the ratio of measurement of the drawing compared to the measurement of the original figure.
3. Comparing Two Similar Geometric Figures: The scale factor when comparing two similar geometric figures, is the ratio of lengths of the corresponding sides.

### Example of Scale Factor

ABCD and PQRS are similar polygons. Then the scale factor of polygon ABCD to polygon
PQRS is the ratio of the lengths of the corresponding sides.
Scale factor = BC:QR = 3:8.

A. 5:1
B. 5:6
C. 6:5
D. 6:7

### Solution:

Step 1: If we multiply the length of one side of the larger rectangle by the scale factor we get the length of the corresponding side of the smaller rectangle.
Step 2: Dimension of larger rectangle × scale factor = dimension of smaller rectangle
Step 3: 24 × scale factor = 20 [Substitute the values.]
Step 4: Scale factor = 20/24 [Divide each side by 24.]
Step 5: Scale factor =5/6= 5:6 [Simplify.]
Therefore, scale factor from the larger rectangle to the smaller rectangle is 5:6.

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