Ratios Proportions and Similar Polygons

ABCDE ∼ GHJDF. ∠E ≅

• ∠H

• ∠D

• ∠F

• ∠J

Solve the proportion.

• q=2

• q=9

• q=4.5

• q=6

Solve for b 

• 8

• 17/12

• 4/3

• 1/8

Are the triangles similar? Explain.

• No, because only one angle of the triangles is congruent.

• Yes, because two of the angles are congruent.

• No, because only one triangle has a right angle.

• Not enough information to determine.

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

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 proportional.

Solve for x.

• 12

• 18

• 9

• 36

Solve for x.

• 3
  -----
  10

• 10
  -----
  3

• 44x+24
  -----------
  (2x+4)(4)

• 30
  ------
  3.1

Solve for x

• 1/2

• 25/8

• 11

• 53/4

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

• 2.5 cups milk

• 1.75 cups milk

• 2 cups flour

• 2.25 cups milk