Similar Figure 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

Solve the proportion:

• 4
• 8
• 14
• 10

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.

• B) Similar figures always have the same size.

• C) Similar figures always have corresponding angles that are congruent.

• D) Similar figures always have corresponding sides that are proportional.

These photos are similar in size. The larger one has a width of 3 in and a length of 5 in. The smaller one has a length of 3 in. What is the width of the smaller painting?

• 1.8 in

• 2.1 in

• 9.8 in

• 9.3 in

To find the height of a very tall pine tree, you place a mirror on the ground 24 feet away from the tree and stand where you can see the top of the tree. You are 6 feet tall and 2 feet away from the mirror. How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

• 20 feet

What is the height of the building?

• 74

• 100

• 104

• 108

• 6.25
• 5.5
• 6
• 5.75

A home's height is 40 ft. and casts a shadow that is 12 ft. A car in the driveway is 10 ft. tall. How long is the car's shadow?

• x = 3 ft.

• x = 12 ft.

• x = 120 ft.

• none of the above

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?

• 24 feet

• 21 feet

• 27 feet

• 32 feet