## Scale Factors and Similarity

The constant factor by which all dimensions of an object are enlarged or reduced in a scale drawing. The dimensions of this rectangle is multiplied by 3 so the scale factor is 3.

An enlargements results in an image that is the same shape but proportionally larger than the original.

A reduction results in an image that is the same shape but proportionally smaller than the original.

The scale factor is the constant

A reduction results in an image that is the same shape but proportionally smaller than the original.

The scale factor is the constant

A scale factor is a number which scales, or multiplies, some quantity. In the equation

*y*=*Cx*,*C*is the scale factor for*x*.*C*is also the coefficient of*x*, and may be called the constant of proportionality of*y*to*x*.For example, doubling distances corresponds to a scale factor of 2 for distance, while cutting a cake in half results in pieces with a scale factor of ½. The basic equation for it is image over preimage. In the field of measurements, the scale factor of an instrument is sometimes referred to as sensitivity. The ratio of any two corresponding lengths in two similar geometric figures is called as Scale Factor.