Scale Factor and Proportions Exam

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

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

Back

To find the scale factor, divide the length of a side of one figure by the corresponding length of a side of the other figure.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Front

If the scale factor is 1/2, what does that mean?

Back

It means that the new figure is half the size of the original figure.

Front

What is the relationship between scale factor and area?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If the scale factor is 3, how does it affect the dimensions of a shape?

Back

Each dimension of the shape is multiplied by 3, making the shape three times larger.

Front

What is the scale factor from triangle DEF to triangle ABC if DEF is smaller?

Back

If triangle DEF is smaller than triangle ABC, the scale factor will be less than 1.

Front

How do you express a scale factor as a fraction?

Back

A scale factor can be expressed as a fraction by comparing the lengths of corresponding sides of two similar figures.

Front

What is the scale factor from ABCD to MNOP if the sides of ABCD are 6 and the corresponding sides of MNOP are 4?

Back

The scale factor is 4/6 or 2/3.