24/25 U4 L6. L7 Scale Drawings & Similar Figures Jan 7

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportional to its actual size, using a specific ratio or scale.

Front

What does the term 'scale factor' mean?

Back

The scale factor is the ratio of the length in a scale drawing to the corresponding length in the actual object. It indicates how much the drawing has been enlarged or reduced.

Front

If a scale drawing has a scale of 1 cm : 100 m, what does this mean?

Back

This means that 1 centimeter on the drawing represents 100 meters in real life.

Front

How do you find the actual distance using a scale drawing?

Back

To find the actual distance, multiply the measurement on the drawing by the scale factor.

Front

What is the formula to calculate the height of similar figures?

Back

The height of similar figures can be calculated using the ratio of their corresponding sides, which is equal to the ratio of their heights.

Front

If a 5-foot tall person casts a shadow of 10 feet, what is the height of a 20-foot tall building that casts a shadow of 40 feet?

Back

The height of the building is 20 feet, as the ratio of height to shadow length is the same for both.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you calculate the missing side of a similar figure?

Back

To calculate the missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

What is the importance of estimating in scale drawings?

Back

Estimating helps to quickly assess dimensions and relationships in scale drawings, which is useful for practical applications.

Front

If a map has a scale of 1 inch : 50 miles, how far apart are two cities that are 3 inches apart on the map?

Back

The actual distance is 150 miles (3 inches x 50 miles/inch).