Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the lengths of corresponding sides of two similar figures.

Front

True or False: All corresponding angles are congruent in similar figures.

Back

True

Front

If the scale factor is 4, what does that mean?

Back

It means that the dimensions of the new figure are 4 times larger than the dimensions of the original figure.

Front

If the scale factor is 1/2, how does the new figure compare to the original?

Back

The new figure is half the size of the original figure.

Front

Solve the proportion: 4/x = 2/8. What is x?

Back

x = 16.

Front

What is the scale factor if the original length is 5 and the new length is 20?

Back

The scale factor is 4.

Front

If a triangle has sides of lengths 3, 4, and 5, and is scaled by a factor of 2, what are the lengths of the new triangle's sides?

Back

The new triangle's sides are 6, 8, and 10.

Front

What is the measurement of x if the proportion is 3/x = 6/12?

Back

x = 6.

Front

If a rectangle has a length of 10 and a width of 5, what are the dimensions if the scale factor is 0.5?

Back

The new dimensions are 5 (length) and 2.5 (width).

Front

What happens to the area of a shape if the scale factor is doubled?

Back

The area increases by a factor of four (since area is proportional to the square of the scale factor).