Triangles and Quadrilateral Flow Chart by corinnebrown

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									                   Triangles and Quadrilateral Flow Chart
  I. Triangles
                                 Find the lengths of all three sides using the distance
                                                        formula


                                    Use the converse of the Pythagorean Theorem
                                             Large2       small2 + small2


                                               Get both of the following


        All three sides are different then it is               If the      is < then it is Acute
        Scalene                                                If the      is = then it is Right
        If 2 sides are the same length then it is              If the      is > then it is Obtuse
        isosceles


  II. Quadrilaterals


                                          Find the slopes of all 4 sides


                 2 sets of equal slopes                 1 set of equal slopes       No sets of equal slopes


               Are the nonequal slopes                    Find the length of the       Check your work. If it
                opposite reciprocals?                       nonparallel sides          is correct then the
                                                                                       shape is a Quadrilateral

                yes                 no
                                                             If they are        If equal
     Find the length of 2        Find the length of 2        not equal          then the
     adjacent sides              adjacent sides              then the           quad is an
                                                             quad is a          Isosceles
                                                             Trapezoid          Trapezoid

If they are    If they are not     If they are      If they are not
equal then     equal then the      equal then       equal then the
the quad is    quad is a           the quad is      quad is a
a square       rectangle           a rhombus        parallelogram

								
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