Proofs and Triangle Similarity

Are these triangles similar?

• No

• Yes by SSS∼

• Yes by AA∼

• Yes by SAS∼

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

SF=

• 2

• 12

• 1/2

• 10

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

What reasons complete the proof?

• Given, AA Similarity Postulate

• Vertical Angle Theorem, AA Similarity Postulate

• Reflexive Property, SAS Similarity Postulate

• Definition of Angle Bisector, SSS Similarity Postulate

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

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

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE