Applying congruency and/or similarity to solve problems

Find missing side

• 5 m
• 7 m
• 9 m
• 11 m

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

How do these triangles appear to be similar?

• AA
• Ratio of two sides and an included angle equal

• Three sides proportional

• Not Similar

Solve for w.

• 12

• 17.5

• 14

• 70

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

• $\Delta EFG\sim\Delta EML$ by $SAS\sim$

• $\Delta EFG\sim\Delta ELM$ by $SSS\sim$

• $\Delta EFG\sim\Delta EML$ by $SSS\sim$

• $\Delta EFG\sim\Delta EML$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Which similarity statement is true for the figures shown?

• AA

• SAS

• SSS

• AAS

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

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

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar