Identifying Similar Triangles

Are these triangles similar? If so, by what similarity theorem and what is the similarity statement?

• Yes, AA~, ΔXYZ~ΔNEW

• Yes, AAA~, ΔXZY~ΔNWE

• No, these aren't similar.

• Yes, AA~, ΔYZX~ΔNWE

Find the value of X.

• 4

• 6

• 12

• 7

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

Find side length X.

• 22.5

• 10

• 9

• 7.5

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar

Are these triangles similar?

• No, they are not similar

• Not Enough Information 

• Yes, similar by AA~ 

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar