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6.3 Similar Figure Scale Drawings                        January 05, 2012




                    Solve.  Round to the 
                    nearest tenth if necessary.

            1.      2 =       f
                    3         21

             2. 9 =           15
                    4          p



                                              Bellwork
                 Objective: use similar figures and scale drawings




HW pg. 301 #4­24 evens                                                      1
6.3 Similar Figure Scale Drawings                                         January 05, 2012




    Similar Figures ­ have the same shape, but not necessarily the same size.  
    Similar figures have corresponding angles and corresponding sides. 
            The symbol ~ means is similar to.  In this example.  ΔABC ~ ΔXYZ


                                                       53
                                                         o    9
                    53
                      o
                          6
              10                                 15
                    37
                      o
                          8
                                                                  12
                                                         o
                                                       37




HW pg. 301 #4­24 evens                                                                       2
6.3 Similar Figure Scale Drawings   January 05, 2012




HW pg. 301 #4­24 evens                                 3
6.3 Similar Figure Scale Drawings                                 January 05, 2012




     Corresponding angles have equal measurements
     Corresponding sides are in proportion.
          Parallelogram ABCD ~ parallelogram EFGH.  Find the value of x. 

                                           E     24        F
                 A   16       B
             x                        18

            D             C           H               G




HW pg. 301 #4­24 evens                                                               4
6.3 Similar Figure Scale Drawings   January 05, 2012




HW pg. 301 #4­24 evens                                 5
6.3 Similar Figure Scale Drawings                                      January 05, 2012




      A tree casts a shadow 10 ft long.  A 5 ft women casts a shadow 4 ft long.  
      The triangle shown for the woman and her shadow is similar to the triangle 
      shown for the tree and its shadow.  How tall is the tree?




HW pg. 301 #4­24 evens                                                                    6
6.3 Similar Figure Scale Drawings                                                      January 05, 2012




    A scale drawing ­ is an enlarged or reduced drawing that is similar to an actual object or place.  
                           The ratio of a distance in the drawing to the corresponding actual distance 
                           is the scale of the drawing.  


    The scale on a map is 1 in : 40 mi.  The distance from Atlanta to Macon is about 75 mi.  
    What is the approximate map distance between these two cities? 




HW pg. 301 #4­24 evens                                                                                    7
6.3 Similar Figure Scale Drawings   January 05, 2012




         HW pg 301 # 4 ­ 24 evens




HW pg. 301 #4­24 evens                                 8

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6.3 notes

  • 1. 6.3 Similar Figure Scale Drawings January 05, 2012 Solve.  Round to the  nearest tenth if necessary. 1. 2 = f 3 21 2. 9 = 15 4  p Bellwork Objective: use similar figures and scale drawings HW pg. 301 #4­24 evens 1
  • 2. 6.3 Similar Figure Scale Drawings January 05, 2012 Similar Figures ­ have the same shape, but not necessarily the same size.   Similar figures have corresponding angles and corresponding sides.  The symbol ~ means is similar to.  In this example.  ΔABC ~ ΔXYZ 53 o 9 53 o 6 10 15 37 o 8 12 o 37 HW pg. 301 #4­24 evens 2
  • 3. 6.3 Similar Figure Scale Drawings January 05, 2012 HW pg. 301 #4­24 evens 3
  • 4. 6.3 Similar Figure Scale Drawings January 05, 2012 Corresponding angles have equal measurements Corresponding sides are in proportion. Parallelogram ABCD ~ parallelogram EFGH.  Find the value of x.  E 24 F A 16 B x 18 D C H G HW pg. 301 #4­24 evens 4
  • 5. 6.3 Similar Figure Scale Drawings January 05, 2012 HW pg. 301 #4­24 evens 5
  • 6. 6.3 Similar Figure Scale Drawings January 05, 2012 A tree casts a shadow 10 ft long.  A 5 ft women casts a shadow 4 ft long.   The triangle shown for the woman and her shadow is similar to the triangle  shown for the tree and its shadow.  How tall is the tree? HW pg. 301 #4­24 evens 6
  • 7. 6.3 Similar Figure Scale Drawings January 05, 2012 A scale drawing ­ is an enlarged or reduced drawing that is similar to an actual object or place.   The ratio of a distance in the drawing to the corresponding actual distance  is the scale of the drawing.   The scale on a map is 1 in : 40 mi.  The distance from Atlanta to Macon is about 75 mi.   What is the approximate map distance between these two cities?  HW pg. 301 #4­24 evens 7
  • 8. 6.3 Similar Figure Scale Drawings January 05, 2012 HW pg 301 # 4 ­ 24 evens HW pg. 301 #4­24 evens 8