Similar Figure Word Problems

What is the scale factor from the large triangle to the small triangle?

• 1/2

• 2/3

• 3/4

• 2

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

• 15
• 13
• 11
• 17

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 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 63 in., what is the length of the banner?

• 84 in

• 71 in

• 47.25 in

• 80

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m

• 15.2 m

• 12 m

• 17.5 m

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?  

• 4.3

• 8.6

• 6.4

• 8
• 9.5
• 10
• 10.5