AA Similarity Criteria

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

Determine whether the triangles are similar.

• SSS

• AA

• SAS

• not similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Calculate the value of the scale factor between the 2 triangles

• 2.5

• 3

• 3.5

• 4

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what reason?

• yes, by AA similarity

• yes, by SAS similarity

• yes, by SSA similarity

• not possible to tell

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta PQR\sim\Delta TUV$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

State if the two triangles are similar and the rule that applies.

• Not Similar

• Similar by SAS

• Similar by AA

• Similar by SSS

Are these triangles similar?

• No, they are not similar

• Not Enough Information 

• Yes, similar by AA~ 

Complete the Proof above.

• AA

• SSS

• SAS

• HL

Determine the relationship between the triangles.

• AA∼

• SAS∼

• SAA∼

• Not necessarily
  similar