Ratio and Similarity

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

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

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 an area of 4700 square feet. Find the area of the elementary court.

• 4700 square feet

• 5,802 square feet

• 5,222 square feet

• 3807 square 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

Calculate the value of the scale factor between the 2 triangles

• 2.5

• 3

• 3.5

• 4

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

Find the ratio (blue to red) of the area.

• 4/7

• 7/4

• 49/16

• 16/49

All angles in similar figures are congruent.  

• True

• False