Shadows Similar Figures

∆EFG is similar to ∆HJK. Determine the scale factor of the larger figure to the smaller figure. Take your time!

• 1/3

• 3

• 3 1/3

• 7

A building 70 ft high casts a 150 ft shadow. A nearby flagpole casts a 60 ft shadow. Draw a diagram and write a proportion to find the height of the flagpole.

• 28
• 175
• 30
• 150

• 24
• 6
• 10
• 7

Which statement is true about similar figures?

• the corresponding angles are congruent and the corresponding sides are proportional
• the corresponding angles are congruent and the corresponding sides are congruent
• the corresponding angles are proportional and the corresponding sides are proportional
• the corresponding angles are proportional and the corresponding sides are congruent

In the figures below, ∆QSR ~ ∆XYZ. Write a proportion and solve for side QS. 

• 2.4
• 15
• 24
• 16

The trapezoids are similar. What is the value of x? Be careful.

• 10

• 37.5

• 25

• 15

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

• 100 km
• 130 km
• 70 km
• 150 km

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

All angles in similar figures are congruent.  

• True
• False

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