Scale Factors & Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific scale.

Front

What does a scale factor represent?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of scale drawings, it indicates how much larger or smaller the drawing is compared to the actual object.

Front

If the scale is 1cm = 8km, how do you find the actual distance from a map distance?

Back

Multiply the map distance in centimeters by the scale factor (8 km) to find the actual distance.

Front

What is the actual distance if two cities are 24cm apart on a map with a scale of 1cm = 8km?

Back

192 km (24 cm x 8 km/cm = 192 km).

Front

How do you convert inches on a map to miles in reality?

Back

Use the scale provided (e.g., 2 inches = 40 miles) to set up a proportion and solve for the actual distance.

Front

What is the actual distance if the map distance is 4.125 inches and the scale is 2 inches = 40 miles?

Back

82.5 miles (4.125 inches x 20 miles/inch = 82.5 miles).

Front

What happens to a figure if the scale factor is less than one?

Back

The figure will be a reduction, meaning it will be smaller than the original.

Front

What does a scale factor of 5 indicate?

Back

An enlargement, meaning the new figure is 5 times larger than the original.

Front

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

Back

Divide the length of a side of the new figure by the length of the corresponding side of the original figure.

Front

What is the scale factor if a large triangle has a side length of 12 cm and a small triangle has a side length of 9 cm?

Back

3/4 (9 cm / 12 cm = 3/4).