Similarity and Proofs

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

What reasons complete the proof?

• Given, AA Similarity Postulate

• Vertical Angle Theorem, AA Similarity Postulate

• Reflexive Property, SAS Similarity Postulate

• Definition of Angle Bisector, SSS Similarity Postulate

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

What is the Reasons for #2 and #3?

• #2 - Corresponding Angles

  #3 - AA ~

• #2 - Reflexive

  #3 - AA ~

• #2 - Reflexive

  #3 - SAS ~

• #2 - Corresponding Angles

  #3 - SAS ~

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar.

Find the missing side using proportions.

• a

• b

• c

• d

Find the missing side using proportions.

• a

• b

• c

• d