Solving with Similar Triangles

The pair of figures is similar. Find the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

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

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

• 11 in.

• 13.5 in.

• 9 in.

• 20.25 in.

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

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Find missing side

• 5

• 7

• 9

• 11

Solve for f.

• 6

• 4

• 3

• 8

Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?

• 3 ft

• 7.5 ft

• 1.2 ft.

• 0.8 ft.

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Which proportion is true?