Scale Factors

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Front

If the scale factor is greater than 1, what does that indicate about the size of the copy compared to the original?

Back

The copy is larger than the original.

Front

If the scale factor is less than 1, what does that indicate about the size of the copy compared to the original?

Back

The copy is smaller than the original.

Front

What is the scale factor if the original shape and the copy are the same size?

Back

The scale factor is 1.

Front

How do you calculate the scale factor between two similar figures?

Back

Divide the length of a side of the copy by the length of the corresponding side of the original.

Front

If a triangle has a scale factor of 2, what happens to its area?

Back

The area of the triangle increases by a factor of 2², or 4.

Front

What is the scale factor from a small triangle to a larger triangle if the sides of the larger triangle are twice as long?

Back

The scale factor is 2.

Front

If the scale factor is 1/2, what does that mean for the dimensions of the copy compared to the original?

Back

The dimensions of the copy are half the size of the original.

Front

What is the scale factor from ΔABC to ΔDEF if the sides of ΔDEF are 1/3 the length of the sides of ΔABC?

Back

The scale factor is 1/3.

Front

If a rectangle's length is scaled by a factor of 3 and the width by a factor of 2, what is the scale factor for the area?

Back

The area scale factor is 3 * 2 = 6.