Determining Scale Factor

The triangles are similar, solve for the missing length of the larger triangle. A proportion would be helpful to set up.

• 8

• 12.5

• 18

• 24

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?

• 24 feet

• 21 feet

• 27 feet

• 32 feet

When determining the Scale Factor, it is helpful to set up a proportion as...

• new/original

• original/new

A model of a house was built using the scale 5 in: 25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

• 90 ft

• 7.5 ft

• 4.5 ft

• 45 in

If the Scale Factor is 4, what is the measurement of x?

• 20 m

• 24 m

• 16 m

• 4 m

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

• Congruent

• Vertical

• Similar

• Complementary

If the Scale Factor is greater than one, then you will have...

• a reduction

• an enlargement

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards

• 1372

• 5

• 14

• 7

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile

• 1 inch = 42 miles

• 40 inches = 1 mile

• 
  1 inch = 40 miles