Similar Shapes and Scale Drawings

Front

What are similar shapes?

Back

Shapes that have the same shape but different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is a scale drawing?

Back

A drawing that represents an object or space at a specific ratio to its actual size.

Front

How do you find the missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown.

Front

If a map scale is 1 cm:50 km, what does this mean?

Back

1 cm on the map represents 50 km in reality.

Front

What is the formula for finding the actual distance using a scale?

Back

Actual Distance = Map Distance × Scale Factor.

Front

If a flagpole is drawn 12 inches tall at a scale of 1 in = 4 ft, how tall is the actual pole?

Back

48 feet.

Front

What is the scale if a blueprint shows a house length of 6 inches and the actual length is 18 feet?

Back

1 inch: 3 feet.

Front

How do you convert a measurement from a scale drawing to actual size?

Back

Multiply the measurement on the drawing by the scale factor.

Front

What is the relationship between corresponding sides of similar shapes?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If a rectangular garden is 45 ft wide and 70 ft long, what is the ratio of width to length?

Back

The ratio is 45:70 or simplified to 9:14.