Similarity and Proofs

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar

Similarity Ratio: _

• 2/3

• 1/2

• 2

• 3

SF=

• 2

• 12

• 1/2

• 10

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

What is the value of X?

• X=4

• X=6

• X=3

• X=2

What is the value of X and Y ?

• X=2.5 and Y=6.5

• X=6.5 and Y=2.5

• X=3 and Y=7

• X=2 and Y= 5

Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰

• Yes

• No

• There is not enough information to decide.

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

Which similarity theorem, if any, proves that these triangles are similar?

• SSS

• SAS

• AA

• None, the triangles are not similar