7.5C Similar Figures and Scale Drawings

Front

What are similar figures?

Back

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

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is drawn to a specific scale, meaning the dimensions are proportional to the actual size.

Front

How do you find the missing side of similar figures?

Back

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

Front

If a scale is 1 inch = 7 feet, how do you convert actual measurements to the drawing?

Back

To convert actual measurements to the drawing, divide the actual measurement by the scale factor (7 feet) to find the length in inches.

Front

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

Back

Actual Length = Length in Drawing × Scale Factor.

Front

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

Back

The actual length is 12 feet (3 cm × 4 ft/cm).

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 to find the actual distance.

Front

What is the scale of a map if 1 cm represents 50 km?

Back

The scale is 1 cm:50 km.

Front

If the distance between two towns on a map is 2.6 cm, what is the actual distance if the scale is 1 cm:50 km?

Back

The actual distance is 130 km (2.6 cm × 50 km/cm).

Front

What does it mean if two figures are proportional?

Back

Two figures are proportional if the ratios of their corresponding sides are equal.