Properties of Similar Triangles

Complete each proportion.

CB / DM = AC / ?

• BM

• MA

• BC

• AD

Q1. What is the answer to life, the universe, and everything?

• 3

• 40

• 42

• 104

• 20

• 30

• 40

• 50

What is the measure of x?

• 12

• 15

• 6

• 9

• a

• b

• c

• d

In the diagram below Δ𝑃𝑄𝑅≅Δ𝐽𝐾𝐿. Find the values of 𝑥, 𝑦, and 𝑧.

• 𝑥=40°, 𝑦=65°, 𝑧=75°

• 𝑥=40°, 𝑦=75°, 𝑧=65°

• 𝑥=75°, 𝑦=65°, 𝑧=40°

• 𝑥=75°, 𝑦=40°, 𝑧=65°

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

Solve.

• 5

• 9

• 18

• 43

When figures are similar, their corresponding sides are__________________.

• congruent

• proportional

• invisible

When figures are similar, their corresponding angles are__________________.

• congruent

• proportional

• yellow

• obtuse