Similar Figures Notes

Solving Proportions Review  Before we can discuss Similar Figures we need to review how to solve proportions…. Any ideas?

Solving Proportions  Solving Proportions: You must cross multiply and solve for the missing value = x 35 2(35)=5x 70=5x____ 5 ____ 5 x = 14

Proportions Practice  x = 14  r = 28  k = 45  z = 9  d = 66  s = 72  w = 36  t = 12  a = 24  f = 14  h = 18  c =135  z = 60  k = 16  n = 15

Similar Figures (~)

Similar Figures  Similar Figures: have the same shape but are not the same size.  Corresponding Angles of Similar Figures: are congruent.  Corresponding Sides of Similar Figures: are in proportion.

Naming Similar Figures  When naming similar figures, list the corresponding sides and the angles in the same order. For example, ∆ABC ~ ∆DEF Corresponding Angles  <A & <D Corresponding Sides  AB & DE  BC & EF  AC & DF

Similar Figures (~)  Two Figures are Similar if: Corresponding angles are congruent Corresponding sides are in proportion 82◦ Corresponding angles D E F Corresponding sides A B C 82◦ 55◦43◦ 55◦ 43◦