Similarity, Geometric Mean, Side Splitter

Solve for x

Leave in simplest radical form

• 6

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

• 78 feet

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

The triangles are similar by...

• SAS

• AAS

• ASA

• SSS

The polygons are similar. Find the scale factor from JEHN to JKLP.

• 4 : 3

• 3 : 4

• 1 : 3

• 1 : 2

Which proportion would be correct in order to solve for x.  (Hint: remember the side splitter theorem states the sides of the triangles are proportional)

• x/10 = 15/30

• x/10 = 45/30

• x/10 = 15/45

• x/10 = 30/15

Two polygons are _____________ if their corresponding angles are congruent and corresponding sides are proportional.

Are the two triangles similar?

• Yes

• No

• Not enough information

Solve the proportion.

• p=31.3

• p=308

• p=924

• p=532

Determine whether the triangles are similar.

• SSS

• AA

• SAS

• not similar