Applying Congruency and/or Similarity to Solve Problems

Which similarity statement is true for the figures shown?

• AA

• SAS

• SSS

• AAS

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar

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

• SSS ~

• SAS~

• AA~

• NOT ~

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

• Yes, SSS

• Not Similar

• Yes, SAS

• Yes, AA

Find missing side

• 5 m

• 7 m

• 9 m

• 11 m

Why are the triangles similar?

• AA~

• SAS~

• SSS~

• AAS~

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. How tall is the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

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

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Find the height of the building

• 74ft

• 100ft

• 104ft

• 108ft