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Write an indirect proof to show that the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures.

1 Answer

6 votes
parallelogram ABCD
AC and BD are diagonals
AC and BD intersect at point E

AB is parallel to CD | opposite sides of a parallelogram are parallel

AB = CD | are congruent opposite sides of a parallelogram
angle BAC = angle DCA |interior angles of parallel lines
angle ABD = angle CDB |interior angles of parallel lines

Triangle ABE = Traingle CDE | ASA
EA = EC | corresponding sides of congruent triangles are congruent.
E bisects AC| AE = EC
hope its help
User Vabanagas
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