Similarity Figures and Triangles

Identify the perimeter and area ratios for the following figures.

• Per. Ratio=8  Area Ratio=64

• Per. Ratio=8/48  Area Ratio=64/2304

• Per. Ratio=8/48  Area Ratio=8/48

• Per. Ratio=8/48  Area Ratio=2304/64

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.

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

• True

• False

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

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

• 16 feet

• 21 feet

• 24 feet

• 28 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

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

Pick the correct Similarity Statement for the Triangles shown.

• ΔABC ~ ΔPRQ

• ΔABC ~ ΔPQR

• ΔCBA ~ ΔPRQ

• ΔACB ~ ΔQRP