Similar Figures Indirect Measurement

Solve for X

• X = 2

• X = 4

• X = 8

• X = 32

Read the problem and find the missing measurement.  Use labels or pictures to help set up the problem.
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 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

Drew is 6 feet tall and casts a 2 foot shadow, The Peet flagpole casts a ten foot shadow. How tall is the flagpole?

• 3 feet

• 10 feet

• 16 feet

• 30 feet

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

What is x?

• 143

• 91

• 7

• 18.9

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm

• x = 24 cm

• x = 3 cm

• x = 16.5 cm