Friday, February 22, 2013

Scale Factor in Math

Definition of Scale Factor in math

In math the ratio of two corresponding lengths in two similar figures or squares  are called as Scale Factor.

In other words the scale factor also called as the ratio of the length of the scale picture to the parallel length of the actual object is called as Scale Factor.

The scale factor going from the large figure to the small figure compare to the scale factor of the small figure to the large figure. I like to share this Polynomials Factoring with you all through my article.


Math Scale Factor - Properties:


In math  scale factor is a number used as a multiplier in scaling.

In math  scale factor is used to identify the shapes in 1, 2, or 3 dimensions.

In math 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: The scale factor when comparing two similar geometric figures, is the ratio of lengths of the corresponding sides. Having problem with math tutoring online for free keep reading my upcoming posts, i will try to help you.


Math Examples of Scale Factor:


1) Find the scale factor from the both rectangles, if the two rectangles are similar. 24 X 12 and 20 X 10

The Choices are:

A. 5:1

B. 5:6

C. 6:5

D. 6:7

Correct Answer: C

Solution:

Step 1: If we multiply the length of the first 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 = [Divide each side by 24.]

Step 5: Scale factor = = 5:6 [Simplify.]

Step 6:Scale factor of two rectangle is = 5:6.

The scale factor of larger one to smaller one rectangle is = 6:5.

Related terms for Scale Factor:

Dimension

Length

Multiplier

2) WXYZ and IJKL are similar polygons. Then the scale factor of polygon WXYZ to polygon IJKL is the ratio of the lengths of the corresponding sides.

so the Scale factor is = XY: JK.

No comments:

Post a Comment