Proportions Scale Factors and Similar Figures

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

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

Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?

• 30 degrees

• 60 degrees

• 150 degrees

• 120 degrees

An equation stating that two ratios are equal.

• Proportion

• Congruent

• Unit RAte

• Scale FActor

Sides in similar figures must be proportional.  

• True

• False 

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 greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional