Identify Similarity

Why are the triangles similar?

• AA~

• SAS~

• SSS~

• AAS~

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

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? Show all work.

• Similar.  SSS

• Similar.  SAS

• Similar.  AA

• 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

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

• 288 feet

• 5802 feet

• 259 feet

• 275 feet

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

• Similar.  SAS

• Similar.  AA

• Similar. SSS

• Not Similar

All corresponding angles are congruent in similar figures.

• True

• False

All corresponding sides are proportional (same ratio) in similar figures.

• True

• False

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar