Similar Figures Scale Factor and Shadow Problems

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

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

• x = 10

• x = 4

• x = 2

• x = 5

Find the missing side length.

• 32

• 35

• 20

• 16

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

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

• Congruent

• Vertical

• Similar

• Complementary 

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

Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?

• 3 ft

• 7.5 ft

• 1.2 ft.

• 0.8 ft.

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches

• 60 inches

• 1/30 inch

• 30 inches