Applying congruency and/or similarity to solve problems

If the triangles are similar, state how.

• SSS
• SAS
• AA
• Not similar.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA
• SAS
• SSS
• Not Similar

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta JKL\sim\Delta ABC$ by $SSS\sim$

• $\Delta JKL\sim\Delta BCA$ by $SSS\sim$

• $\Delta JKL\sim\Delta CAB$ by $SSS\sim$

• $\Delta JKL\sim\Delta BCA$ by $SSS\sim$

Answer explanation

The order of the points matter! The endpoints of the shortest sides have to line up! Same with the longest sides!

Find x.

• 20 m
• 24 m
• 16 m
• 4 m

How do these triangles appear to be similar?

• AA
• SAS
• SSS
• Not Similar

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• Not Similar

Using (SSS, AA, SAS) can you determine must be similar? If so, explain why.

• Yes, by SSS

• Yes, by AA

• Yes, by SAS

• There is not enough information to prove similarity

Which triangle has SAS with this triangle?

• 
• 
• 

Solve for x. 

• 8
• 6
• 10
• 12

Set up and solve a proportion to find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft