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Practice, Practice, Practice:


        If              , what is the measure of        ?






















                   A      40°

                   B      45°


                   C      50°

                   D      60°


          Answer



        The correct answer is C. Because                   and         and         are vertical angles, then
                      . Because the sum of the measures of the angles in a triangle is 180°, then the measure
        of        is 180° - (40° + 90°), or 50°.











        Constructions


                              These tools are a typical compass and straight edge. They are the tools that you and your
                              students will use to construct simple geometric figures by hand. A compass is used for
                              drawing arcs and circles and for copying lengths. The straight edge is used only to draw
                              straight lines. While a ruler is typically used as a straight edge, it will not be used to measure
                              lengths during constructions.

                              Given a line segment, how would you construct the midpoint and perpendicular
                              bisector of that segment using a compass and a straight edge?


        Follow these steps:
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