Similar Figures Scale Factor and Shadow Problems

Which triangle is similar to the above triangle?

• A

• B

• C

• D

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.

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20

• 25

• 100

• 40

Triangle ABC and XYZ are similar. What is the scale factor or multiplier used to make the the smaller one larger?

• 2

• ½

• ⅖

• 5/2

Find missing side

• 5

• 7

• 9

• 11

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

Find y.

• 144

• 18

• 72

• 12

Find the height of the tree.

• x = 0.0625 ft.

• x = 48 ft

• x = 16 ft.

Find the scale factor of the enlargement from C to A

• 2

• 1/2

• 3

• 1/3

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet