Exploring Similar Figures and Scale Drawings

If one inch on a map equals 20 miles, how many miles does 4 inches represent?

• 80 miles

• 40 miles

• 160 miles

• 20 miles

In similar figures, if one side of a smaller figure is 6 units and the corresponding side in the larger figure is 8 units, what is the scale factor?

• 2:3

• 1:3

• 1:4

• 3:4

How can you find the length of an unknown side in a similar figure using proportions?

• Cross multiply the ratios of corresponding sides

• Divide the lengths of known sides

• Add the lengths of known sides

• Subtract the lengths of known sides

What is the length of side RS in the trapezoid example, if AD is 1.7 and BC is 2.8?

• 5.1 meters

• 8.4 meters

• 2.8 meters

• 1.7 meters

What does a scale factor indicate in a scale drawing?

• The actual size of the object

• The time taken to draw

• The ratio of the drawing size to the actual size

• The color scheme of the drawing

If a tree casts a 9 feet long shadow and a nearby person casts a 3 feet shadow, how tall is the tree if the person is 5.5 feet tall?

• 16.5 feet

• 18 feet

• 9 feet

• 5.5 feet

On a map with a scale of 1 inch to 80 miles, what is the map distance for an actual distance of 232 miles?

• 3.5 inches

• 2.9 inches

• 4.0 inches

• 5.0 inches

How many centimeters on the map represent a real distance of 1.5 miles if 1 cm equals 0.5 miles?

• 4 cm

• 3 cm

• 2 cm

• 1 cm

What is the distance between the Trevi Fountain and the Spanish Steps if they are 8 kilometers apart?

• 6 kilometers

• 2 kilometers

• 4 kilometers

• 8 kilometers

In the triangle problem, if the scale factor is 4 and the side of the smaller triangle is 5 cm, what is the corresponding side length in the larger triangle?

• 25 cm

• 15 cm

• 20 cm

• 10 cm