6.1.3 Conditions for Parallelograms (continued) Example 4 Problem-Solving Application
This is a condition of a quadrilateral being a parallelogram. If a quadrilateral’s two diagonals bisect each other, then the quadrilateral is a parallelogram. Notice the symbols for congruent line segments in the figure. A quadrilateral is determined to be a parallelogram in this application example. It is given that AE and EC are equal in length and BE and ED are equal in length. The givens indicate that the diagonals of the quadrilateral bisect each other. Therefore, this is a parallelogram according to the conditions for parallelograms.
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