Find AE in the parallelogram, if BD = 12, and AC = 18


See the picture in the attached figure we know that There are six important properties of parallelograms to know:1) Opposite sides are congruent (AB = DC). 2) Opposite angels are congruent (D = B). 3) Consecutive angles are supplementary (A + D = 180°). 4) If one angle is right, then all angles are right. 5) The diagonals of a parallelogram bisect each other. 6) Each diagonal of a parallelogram separates it into two congruent triangles. so if t he diagonals of a parallelogram bisect each other then  AE=EC AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units the answer is AE=9 units

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