Applying Congruency and/or Similarity to Solve Problems

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? Do not include units when typing your answer.

Mathematical Equivalence

ON

State the postulate that proves these triangles are similar.

• SSS~

• SAS~

• AA~

• Not similar, b/c ratios are not equal

The 2 shapes are similar. Find missing side

• 5

• 7

• 9

• 11

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA~

• SAS~

• SSS~

• Not Similar

Using a proportion, find the height of the tree.

• x = 0.0625 ft.

• 1.6 feet

• x = 16 ft.

State if the triangles are similar by SAS.

• Yes, SAS Similarity

• Similar but not SAS

• Not Similar

Can you prove the triangles similar by SSS Theorem?

• Yes--the sides are all proportional.

• No--there is not enough information provided for SSS

solve for X.

• 29.7

• 30

• 24

• 37.5

Complete and solve the proportion

• ? = 2 and x=3√2

• ? = 9 and x=11

• ? = 11 and x=3√11

• ? = 20 and x= 6√5

• Not enough information given

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