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6.2 Proportion Properties                                                              November 15, 2012




       Bellwork
       Solve the proportions.

       1. 3 6
          ­­ = ­­­                              2.           1 3
                                                           ­­­­ = ­­­
          8 x+1                 15                        s+8 36                            4

       3. Simplify the Ratio.
          1200cm : 1.8m                  20:3

       4. Find the Geometric Mean of 42 & 12.
                                  22.45

       5. The area of a rectangle is 720 in     2
                                                    . If the ratio of the length to width is 5:4,
       find the perimeter of the rectangle.
                                                           108 in.




                                              Nov 24­7:38 AM

HW pg. 367 #4­18 evens, 22                                                                                 1
6.2 Proportion Properties                                                           November 15, 2012

                                                               6.2 Proportions
            Reciprocal Property: If 2 ratios are =, then their reciprocals are =.
                                  If ­ = ­ then b d
                                     a c,
                                                 ­ = ­
                                     b d          a c

            Interchange the means: If a c, then a b
                                      ­ = ­     ­ = ­
                                      b d       c d

            Adding denominator to numerator: If a c, then a+b c+d
                                                 ­ = ­     ­­­ = ­­­
                                                b d         b      d




                                            Nov 24­7:38 AM

HW pg. 367 #4­18 evens, 22                                                                              2
6.2 Proportion Properties                     November 15, 2012




                             Nov 24­7:51 AM

HW pg. 367 #4­18 evens, 22                                        3
6.2 Proportion Properties                                          November 15, 2012




    Scale Drawing: same shape as object it represents

    Scale: ratio that describes how the dimensions in the drawing are related to
    the actual dimensions of the object.




                                     Nov 24­7:53 AM

HW pg. 367 #4­18 evens, 22                                                             4
6.2 Proportion Properties                     November 15, 2012




                             Nov 24­7:56 AM

HW pg. 367 #4­18 evens, 22                                        5
6.2 Proportion Properties                      November 15, 2012




                             Nov 24­11:41 AM

HW pg. 367 #4­18 evens, 22                                         6
6.2 Proportion Properties                     November 15, 2012




     HW pg. 367 #4-18 evens & 22




                             Nov 29­8:33 AM

HW pg. 367 #4­18 evens, 22                                        7

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6.2 notes

  • 1. 6.2 Proportion Properties November 15, 2012 Bellwork Solve the proportions. 1. 3 6 ­­ = ­­­ 2. 1 3 ­­­­ = ­­­ 8 x+1 15 s+8 36 4 3. Simplify the Ratio. 1200cm : 1.8m 20:3 4. Find the Geometric Mean of 42 & 12. 22.45 5. The area of a rectangle is 720 in 2 . If the ratio of the length to width is 5:4, find the perimeter of the rectangle. 108 in. Nov 24­7:38 AM HW pg. 367 #4­18 evens, 22 1
  • 2. 6.2 Proportion Properties November 15, 2012 6.2 Proportions Reciprocal Property: If 2 ratios are =, then their reciprocals are =. If ­ = ­ then b d a c, ­ = ­ b d a c Interchange the means: If a c, then a b ­ = ­ ­ = ­ b d c d Adding denominator to numerator: If a c, then a+b c+d ­ = ­ ­­­ = ­­­ b d b d Nov 24­7:38 AM HW pg. 367 #4­18 evens, 22 2
  • 3. 6.2 Proportion Properties November 15, 2012 Nov 24­7:51 AM HW pg. 367 #4­18 evens, 22 3
  • 4. 6.2 Proportion Properties November 15, 2012 Scale Drawing: same shape as object it represents Scale: ratio that describes how the dimensions in the drawing are related to the actual dimensions of the object. Nov 24­7:53 AM HW pg. 367 #4­18 evens, 22 4
  • 5. 6.2 Proportion Properties November 15, 2012 Nov 24­7:56 AM HW pg. 367 #4­18 evens, 22 5
  • 6. 6.2 Proportion Properties November 15, 2012 Nov 24­11:41 AM HW pg. 367 #4­18 evens, 22 6
  • 7. 6.2 Proportion Properties November 15, 2012 HW pg. 367 #4-18 evens & 22 Nov 29­8:33 AM HW pg. 367 #4­18 evens, 22 7