Ratio and Proportion Similar Triangles

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

• True

• False

Why are the triangles similar?

• AA~

• SAS~

• SSS~

• AAS~

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

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

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 angles are congruent in similar figures.

• True

• False

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

• Similar.  SAS

• Similar.  AA

• Similar. SSS

• Not Similar

Complete each proportion.
AB / BM  =  ? / CD

• BC

• AC

• MD

• MC