Similarity Review

Solve for x. The two figures are similar.

• x = 6
• x = 9
• x = 7
• x = `0

What is the height of the Tree?

• 20
• 15
• 30
• 10

The triangles are similar, solve for the question mark.

• 8
• 12.5
• 18
• 24

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10
• 12
• 15
• 18

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

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

• Yes, SSS

• Yes, AA

• Yes, SAS

• Not similar

The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?

• 53⁰,78⁰, and 49⁰
• There is not enough information to answer this question.
• 106⁰,156⁰, and 98⁰
• 26.5⁰,39⁰, and 24.5⁰

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

• Similar.  SAS
• Similar.  AA
• Similar. SSS
• Not Similar

Are the triangles similar? If so, what similarity shortcut is used?

• Similar.  SSS
• Similar.  SAS
• Similar.  AA
• Not Similar.

What is the scale factor from left to right?

• 1/2
• 7/3
• 2
• 10/3