Proportions and Scale Drawing and Similar Figures

A common ratio for pairs of corresponding sides of similar figures.

• Scale Factor

• Rate

• Scale Drawing

• Cross Products

Sides that have the same relative position in geometric figures and are proportional.

• Scale Factor

• Similar Figures

• Scale Drawing

• corresponding sides

In a proportion the numbers diagonally across from each other are multiplied together.

• Cross Products

• Unit Rate

• Rate

• Scale Drawing

The ratio of the size of a figure on a drawing to the actual size of the figure.

• Scale

• Cross Products

• Unit Rate

• Ratio

A comparison of two numbers by division.

• Rate

• Unit Rate

• Ratio

• Corresponding Sides

Ratios that have the same value.

• Scale Factor

• Equivalent Ratio

• Corresponding Sides

• Rate

Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters. Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

What is the scale factor to go from MNOP to ABCD?

• 2/3

• 1/2

• 3/2

• 2

Answer explanation

MNOP is the original, so the measure of that quadrilateral's side should be in the denominator of the fraction.

The height of a building in a drawing is 15 inches. If the actual height of the building is 165 feet, find the scale factor of the drawing.

(Remember: the scale factor is a ratio in the same units)

On a map, 2 inches represents an actual distance of 64 miles. Towns A and B are 608 miles apart. Find the distance between the two towns, in inches, on the map.