7.5C Similar Figures and 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 a specific size, maintaining the same ratios as the original.

Front

What does the scale 1 cm:50 km mean?

Back

It means that 1 centimeter on the map represents 50 kilometers in reality.

Front

How do you calculate actual distance using a scale?

Back

Multiply the distance on the map by the scale factor to find the actual distance.

Front

If a map shows a distance of 2.6 cm with a scale of 1 cm:50 km, what is the actual distance?

Back

130 km (2.6 cm x 50 km/cm = 130 km).

Front

What is the formula to find the actual length from a scale drawing?

Back

Actual Length = Length on Drawing x Scale Factor.

Front

If a car in a scale drawing is 3 cm long and the scale is 1 cm:4 ft, what is the actual length of the car?

Back

12 feet (3 cm x 4 ft/cm = 12 ft).

Front

What is the scale if 1 inch represents 7 feet?

Back

The scale is 1 in = 7 ft.

Front

How wide is a backyard that is 49 ft in reality if the scale is 1 in = 7 ft?

Back

7 inches (49 ft ÷ 7 ft/in = 7 in).

Front

What is a similar figure?

Back

Similar figures are shapes that have the same shape but may differ in size; their corresponding angles are equal and their sides are proportional.

Front

How do you find missing sides in similar figures?

Back

Use the ratio of the corresponding sides to set up a proportion and solve for the missing side.