Let ABCDEF be a convex hexagon (with vertices A, B,C, D,E, F labelled in counter-clockwise order) such that AB is parallel to FC, CD is parallel to BE, and EF is parallel to DA. Show that the two triangles ÎACE and ÎBDF have equal area.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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a rotation about point l

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