Discovering Geometry

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

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 congruent in any similar figure.

• True
• False

Find x

• 10.5
• 5
• 8.5
• 6

Why are the triangles similar?

• AA~
• SAS~
• SSS~
• AAS~

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

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

• True
• False

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft