Similarity Proportionality and Geometric Mean

Which of the following does NOT prove triangles are similar.

• AA Similarity Postulate

• SAS Similarity Postulate

• SSS Similarity Postulate

• Triangle Proportionality Theorem

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

• 3.75

• 9.75

• 10

• 12

What is geometric mean of 4 and 9?

• 5

• 6

• 7

• 8

What if the value of x?

• 16

• 12

• 4

• 64

Find the value of x.

• 15√5

• 5√5

• 5√3

• 3√5

Find the value of y. 

• 4

• 2√6

• 6√2

• 12

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

If the triangles are similar, state why.

• AA

• SAS

• SSS

• Not similar

Two right triangles are ____ similar.

• always

• sometimes

• never

Find the missing length indicated. Write down your work.

• 30

• 25

• 45

• 50