Similarity Applications and Proportionality

Use the information in the diagram to determine the height of the tree. Remember: lines with the same marks are congruent to each other.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?

• x = 3 ft.

• x = 12 ft.

• x = 120 ft.

• none of the above

A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

• 2 ft

• 4 ft

• 6 ft

• 8 ft

Is triangle WPX similar to triangle WZY? If so, why?

• yes, SAS

• yes, AA

• yes, SSS

• not similar

Find the missing length.

• 21

• 18

• 16

• 24

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

What is the value of y?

• 10

• 12

• 3

• 8

What is the length of segment AB?

• 20

• 21

• 24

• 18

What is z equal to?

• 1

• 2

• 1.5

• 0.5

• CG

• CE

• DE

• BC