Similar Figures Word Problems

If two figures are similar their angles are______.

• proportional
• congruent
• supplementary
• complementary

If two figures are similar, the corresponding sides are ______________.

• equal
• congruent
• proportional
• none of these

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

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

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

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

• 80 feet
• 320 feet
• 40 feet
• 160 feet

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

What similarity theorem would prove that these triangles are similar?

• SAS∼
• SSS∼
• AA∼
• Side Splitter

Are the triangles similar?

• Yes
• No

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional