Identify Similar Triangles

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

Complete the similarity statement: △ADB ~ _______

• △ACE
  

• △AEC

• △EAC
  

• △ECA

Complete the similarity statement: △ACB ~ _______ ~ _______

• △ACD, △ABD
  

• △DCA, △BDA

• △ACD, △BDA
  

• △DCA, △DAB

Complete the similarity statement: △CED ~ _______

• △TUV
  

• △VTU

• △TVU
  

• △UTV

Complete the similarity statement: △WYX ~ _______

• △WYZ
  

• △WZY

• △YZW
  

• △YWZ

Complete the similarity statement: △ACB ~ _______

• △HFG
  

• △HGF

• △FHG
  

• △FGH

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

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

• AA~

• SSS~

• SAS~

• The triangles are not similar.

How are these two triangles similar? Solve for y.

• AA~, 32

• AA~, 9.6

• SAS~, 9.6

• SAS~, 4

• SAS~, 96

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

• AA~

• SSS~

• SAS~

• None of these