Triangle Similarity Multiple Choice

A rope is tied to the bottom of a hot air balloon as shown. The rope makes an angle of 35⁰ with the ground and is 75ft. long. How far is the bottom of the balloon from the ground to the nearest foot?

• 43 ft.

• 53 ft.

• 61 ft.

• 131 ft.

What is the correct equation to solve for x ?

• tan( 46 ) = 17/x

• sin ( 46 ) = x/17

• tan (46 ) = x/17

• cos (46) = x/17

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

What is the correct ratio for tan(A)?

• 20/12

• 12/20

• 12/16

• 16/12

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar.

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar

Are these triangles similar? If so, by what similarity theorem and what is the similarity statement?

• Yes, AA~, ΔXYZ~ΔNEW

• Yes, AAA~, ΔXZY~ΔNWE

• No, these aren't similar.

• Yes, AA~, ΔYZX~ΔNWE

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar