Establishing Triangle Similarity

Decide whether the triangles are similar. If so, write a similarity statement.

• ΔABC ~ ΔFED

• ΔABC ~ ΔDEF

• ΔABC ~ ΔDFE

• The triangles are not similar.

Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW
• ΔXZY~ΔNWE
• ΔZYX~ΔENW
• ΔYZX~ΔNWE

Determine if the triangles are similar. If so, state the similarity postulate or theorem.

• AA~

• SSS~

• SAS~

• The triangles are not similar.

Which method can be used to show that the two triangles at the right are similar?

• AA~

• SSS~

• SAS~

• Cannot be shown

Are these two triangles similar and if so, identify the correct similarity statement.

• AA~

• SSS~

• SAS~

• 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

How do these triangles appear to be similar?

• AA~

• SAS~

• SSS~

• Not Similar

How do these triangles appear to be similar?

(Hint: Look for non-labeled parts!)

• AA~

• SAS~

• SSS~

• Not Similar