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1.3 Midpoint & Distance Formulas                                 August 15, 2012




                                   Bellwork
                                                         3.2
                                                               3.2 - 2 = 1.2
       1. Find the missing length               2   C
                                     A     B
       2. Are DE & GH congruent,             NO, DE = 24 & GH = 5
        if D(-4,11), E(-4,-13), G(-14,5), H(-9,5)?
       3. How do you name a plane? Must be 3 non-collinear points in
       4. What is a postulate?         that plane
                  a rule that is accepted without proof

                               2
              1         3    24
       5. 2        +3                  5 5 =61
              2         4
                               3   =    4      4
                            +34




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HW pg. 19 #4­36 evens ­24                                                          1
1.3 Midpoint & Distance Formulas                                August 15, 2012




                      1.3 Midpoint and Distance

       Midpoint (M): point that divides the
       segment into 2 congruent ( ≅) segments
                                                            C


                                                    A   D   M         B




       Segment Bisector (CD):a point, ray, line, line
       segment, or plane that intersects the segment
       at its midpoint.




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HW pg. 19 #4­36 evens ­24                                                         2
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             3
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             4
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             5
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             6
1.3 Midpoint & Distance Formulas                            August 15, 2012




                             Midpoint Formula

                              (      2
                                          ,
                                   x1 + x2 y1 + y2
                                              2         )




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HW pg. 19 #4­36 evens ­24                                                     7
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             8
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             9
1.3 Midpoint & Distance Formulas                    August 15, 2012




                                   Aug 23­3:17 PM

HW pg. 19 #4­36 evens ­24                                             10
1.3 Midpoint & Distance Formulas                      August 15, 2012




                        Distance Formula

                     AB = √(x2 - x1)2 + (y2 - y1)2
                                        or

                    (AB)2 = (x2 - x1)2 + (y2 - y1)2




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HW pg. 19 #4­36 evens ­24                                               11
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             12
1.3 Midpoint & Distance Formulas                    August 15, 2012




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HW pg. 19 #4­36 evens ­24                                             13
1.3 Midpoint & Distance Formulas                         August 15, 2012




                                       HW:
                                       pg 19
                                    #4-36 evens
                                   except 24. yippee!!




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HW pg. 19 #4­36 evens ­24                                                  14

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1.3 notes