Ratios and Proportions, Similar Polygons, and Proportions in Triangles

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

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

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

ABCDE ∼ GHJDF. ∠E ≅

• ∠H
• ∠D
• ∠F
• ∠J

Solve the proportion.

• q=2
• q=9
• q=4.5
• q=6

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

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

• Congruent
• Vertical
• Similar
• Complementary