Scale Factors & Scale Drawings

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the size of a scaled drawing or model compared to the original size.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction.

Front

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

Back

Divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

What is the scale of a drawing if 1 inch represents 7 yards?

Back

The scale is 1 inch = 7 yards.

Front

What is the area of a square with a side length of 5 inches?

Back

Area = side × side = 5 in × 5 in = 25 in².

Front

If a drawing of a garden has a scale of 2 inches = 5 feet, what is the actual length of a side that measures 4 inches in the drawing?

Back

Actual length = (4 in) × (5 ft / 2 in) = 10 ft.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If a quadrilateral has a scale factor of 4, how does its area compare to the original?

Back

The area of the new quadrilateral is 4² = 16 times larger than the original.

Front

What is the scale factor if a drawing of a soccer field is 14 inches long and the actual field is 98 yards long?

Back

Scale factor = 14 in / 98 yd = 1 in / 7 yd.