Missing Sides and Angles on Similar Figures

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

• 22.5 cm

• 8 cm

• 10.8 cm

• 30 cm

Using a proportion, find the height of the tree.

• x = 0.0625 ft.

• 36 ft.

• 16 ft.

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

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

Are these figures similar?

• yes

• no

Are these figures similar?

• yes

• no

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12