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6.3 Similar Figures                                       November 16, 2012




                                                       Bellwork




                                      Nov 29­8:47 AM

HW pg. 376 #4­12 evens, 20­28 evens                                           1
6.3 Similar Figures                                                        November 16, 2012


                                      6.3 Similar Polygons
                           Similar polygons: corresponding angles are congruent and
             B     C
                            corresponding lengths are proportional
                                  F    G

                                            <A ≅   <E ...
         A             D      E        H
                                             AB    BC
                                            -- =   --
                 ∴ ABCD ~ EFGH               EF    FG ...




                                               Nov 29­8:57 AM

HW pg. 376 #4­12 evens, 20­28 evens                                                            2
6.3 Similar Figures                                                                  November 16, 2012

                 Scale Factor: ratio of lengths of corr. sides in similar polygons




                                            Nov 29­9:37 AM

HW pg. 376 #4­12 evens, 20­28 evens                                                                      3
6.3 Similar Figures                                    November 16, 2012




                                      Nov 29­9:41 AM

HW pg. 376 #4­12 evens, 20­28 evens                                        4
6.3 Similar Figures                                                                             November 16, 2012

                 Perimeters of Similar Polygons Theorem: If 2 polys are ~,
                    then the ratio of perimeters = the ratios of corr. side lengths

                                              If KLMN ~ PQRS, then KL+LM+MN+NK = KL = LM = MN= NK
                          K   L
                                                       PQ+QR+RS+SP     PQ   QR   RS   SP
                                          P   Q



                      N           M   S           R




                                                      Nov 29­9:45 AM

HW pg. 376 #4­12 evens, 20­28 evens                                                                                 5
6.3 Similar Figures                                            November 16, 2012


      Similarity & Congruence: If 2 figures are ≅, then they are ~.

          If 2 figures are ~, then the ratio of corr. sides = scale factor




                                      Nov 29­10:26 AM

HW pg. 376 #4­12 evens, 20­28 evens                                                6
6.3 Similar Figures                                     November 16, 2012




                      HW pg. 376
                      #4-12 evens,
                      20-28 evens




                                      Nov 29­10:25 AM

HW pg. 376 #4­12 evens, 20­28 evens                                         7

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6.3 notes

  • 1. 6.3 Similar Figures November 16, 2012 Bellwork Nov 29­8:47 AM HW pg. 376 #4­12 evens, 20­28 evens 1
  • 2. 6.3 Similar Figures November 16, 2012 6.3 Similar Polygons Similar polygons: corresponding angles are congruent and B C corresponding lengths are proportional F G <A ≅ <E ... A D E H AB BC -- = -- ∴ ABCD ~ EFGH EF FG ... Nov 29­8:57 AM HW pg. 376 #4­12 evens, 20­28 evens 2
  • 3. 6.3 Similar Figures November 16, 2012 Scale Factor: ratio of lengths of corr. sides in similar polygons Nov 29­9:37 AM HW pg. 376 #4­12 evens, 20­28 evens 3
  • 4. 6.3 Similar Figures November 16, 2012 Nov 29­9:41 AM HW pg. 376 #4­12 evens, 20­28 evens 4
  • 5. 6.3 Similar Figures November 16, 2012 Perimeters of Similar Polygons Theorem: If 2 polys are ~, then the ratio of perimeters = the ratios of corr. side lengths If KLMN ~ PQRS, then KL+LM+MN+NK = KL = LM = MN= NK K L PQ+QR+RS+SP PQ QR RS SP P Q N M S R Nov 29­9:45 AM HW pg. 376 #4­12 evens, 20­28 evens 5
  • 6. 6.3 Similar Figures November 16, 2012 Similarity & Congruence: If 2 figures are ≅, then they are ~. If 2 figures are ~, then the ratio of corr. sides = scale factor Nov 29­10:26 AM HW pg. 376 #4­12 evens, 20­28 evens 6
  • 7. 6.3 Similar Figures November 16, 2012 HW pg. 376 #4-12 evens, 20-28 evens Nov 29­10:25 AM HW pg. 376 #4­12 evens, 20­28 evens 7