Scale & Scale Drawings

Front

What is a scale in the context of maps?

Back

A scale is a ratio that compares a distance on a map to the actual distance it represents on the ground.

Front

If a map has a scale of 1 cm = 5 km, how do you calculate the actual distance between two points on the map?

Back

Multiply the distance on the map (in cm) by the scale factor (5 km).

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 the original.

Front

How do you find 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

If a triangle is scaled down by a factor of 1/2, what happens to its area?

Back

The area is scaled down by a factor of (1/2)² = 1/4.

Front

What is the purpose of scale drawings?

Back

Scale drawings are used to represent objects that are too large or too small to be drawn at actual size.

Front

If a drawing uses a scale of 1 inch : 3 feet, how many inches would represent 12 feet?

Back

4 inches (since 12 feet ÷ 3 feet/inch = 4 inches).

Front

What is the actual width of a tent if it is drawn 2 inches wide on a scale of 1 inch : 3 feet?

Back

6 feet (2 inches x 3 feet/inch = 6 feet).

Front

How do you convert a distance on a map to actual distance using the scale?

Back

Multiply the distance on the map by the scale's denominator.

Front

What is the actual distance if two cities are 3 cm apart on a map with a scale of 1 cm = 5 km?

Back

15 km (3 cm x 5 km/cm = 15 km).