Similarity and Triangle Proportionality

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

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

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

Find the length of DF, or state what additional information is needed to determine this length.

• To determine DF, we need the perimeter of both triangles

• To determine DF, we need the length of DE

• DF = 7

• DF = 5

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

Complete the similarity statement: △ADB ~ _______

• △ACE
  

• △AEC

• △EAC
  

• △ECA