<PRE><B>Question 722838</B>
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Draw an arbitrary quadrilateral on a set of coordinate axes such that one vertex is at the origin and one of the sides of the quadrilateral is coincident with the *[tex \LARGE x]-axis.


Label the vertices (0,0), (b, 0), (a,d), and (c,e).  Use the midpoint formulas to calculate, in terms of a, b, c, d, and e, the coordinates of the midpoints of each of the four sides.  Construct line segments connecting each pair of midpoints. Use the slope formula to show that the opposite sides of the figure created by these segments have identical slopes, are therefore parallel, and are therefore the sides of a parallelogram.


Write back for a quote for a full solution, complete explanation, and diagrams.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
My calculator said it, I believe it, that settles it
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