Re: geometry proof

Subject:

Comments:
: : : How do i write a two column proof for this problem. : : : Given: Isoceles trapezoid PQRS with bases PQ and SR : : : and diagonals SQ and PR; W, X, Y ,Z are midpoints of sides PS, PQ, QR, and RS respectively. : : : Prove: WXYZ is a rhombus. : : Hello, Jacob! : : Did you know this? : : If we connect the midpoints of the sides of ANY quadrilateral : : (even a "bent" one in 3-space), we get a parallelogram? : : In triangle PRS, X and W are midpoints of PQ and PS. : : Hence, XW || QS and XW = QS/2. : : Similarly, in triangle RQS, YZ || QS and YZ = QS/2. : : Therefore, WXYZ is a parallelogram (a pair of opposites sides : : are parallel and equal). : : Now, we must show that, say, XW = XY. : : There are many ways to accomplish this. : : For example, show that triangles PRS and QRS : : are congruent, then PR = QS. : Thanks fot the help. But how do write that answer as a proof with statements and reasons.

Optional Link URL:
Link Title:
Optional Image URL: