Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that maintains the proportions of the original, using a specific ratio or scale to reduce or enlarge its size.

Front

What does the term 'scale' mean in the context of maps?

Back

In maps, 'scale' refers to the ratio between the distance on the map and the actual distance it represents in real life.

Front

If a map scale is 1 inch = 42 miles, how far apart are two cities that are 5 inches apart on the map?

Back

210 miles (5 inches x 42 miles/inch = 210 miles).

Front

What is the scale factor?

Back

The scale factor is the ratio of any two corresponding lengths in two similar geometric figures.

Front

If the scale factor from ΔDEF to ΔABC is 2, what does this mean?

Back

It means that every length in ΔABC is twice as long as the corresponding length in ΔDEF.

Front

How do you calculate the actual distance between two points on a map?

Back

Multiply the distance on the map by the scale factor (e.g., if 1 cm = 5 km and the distance is 3 cm, then actual distance = 3 cm x 5 km/cm = 15 km).

Front

What is the new perimeter of a rectangle if its original perimeter is 30 cm and it is enlarged by a scale factor of 4?

Back

120 cm (30 cm x 4 = 120 cm).

Front

If two rectangles are scale drawings, how do you find the measurement of a missing side?

Back

Use the scale factor to set up a proportion between the corresponding sides of the rectangles.

Front

What is the formula to find the scale factor between two similar figures?

Back

Scale Factor = Length of a side in the new figure / Length of the corresponding side in the original figure.

Front

If a rectangle has a length of 10 cm and is scaled by a factor of 3, what is the new length?

Back

30 cm (10 cm x 3 = 30 cm).