Scale Factor and Scale Drawings

If a Scale Factor if greater than 1, then your figure gets...

• Smaller

• Bigger

• Does not change

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 

• 72 in

• 60 in

• 62 in

• 80 in

An architect is drawing a house and decides that 1.5 inches = 2 feet in his drawing. In real life the living room has a length of 17 feet. How long will the length of the room be on his blueprint (drawing)?

• 12.75 inches

• 15.5 inches

• 22.67 inches

• 51 inches

What is the scale of a drawing where a 6 m wall is 4 cm long?

• 1 cm = .66 m

• 1 cm = 1.5 m

• 1 cm = 3 m

• 1 cm = 4 m

The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm:50 mi. Find the actual distances in miles.
Answers are for Austin and Galveston (respectively).

• 145 miles and 47.5 miles

• 317. 5 miles and 145 miles

• 145 miles and 47.5 miles

• 225 miles and 145 miles

A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?

• 2 feet = 50 yards

• 1 foot = 200 yards

• 1 foot = 100 yards

• 1 foot = 50 yards

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

• 200 miles

• 175 miles

• 100 miles

• 125 miles