Similar Figures

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 

• 72 in

• 60 in

• 62 in

• 80 in

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Which side length corresponds with EF?

• ML

• LM

• OL

• EH

A tree is 72 feet tall and has a shadow that is 12 feet long.  A nearby tree has a shadow of 5 feet.  How tall is the tree? 

• 3 ft.

• 300 ft.

• 30 ft.

• 35 ft.

The polygons are similar. Find x.

• x = 2

• x = 6

• x = 4 

• x = 8

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?

• 5 cm

• 7.5 cm

• 8 cm

• 9 cm

Solve for X

• X = 12

• X = 60

• X = 15

• X = 5

A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long.  What is the height of the second road sign?

• 5 ft

• 10 ft

• 15 ft

• 12 ft

Kameron, who is 4.5 ft tall, is outside during recess.  He casts a 9 ft shadow.  If the closest tree to Kameron is 18 ft tall, how long is the tree’s shadow?

• 36 ft

• 9 ft

• 27 ft

• 32 ft