![]() ![]() differentiate a trapezoid from a trapezium.know the exclusive and inclusive definition of a trapezoid.What is the significance of trapezoids?Īfter reading this article, you will be able to:.What are the properties of a trapezoid?.The ratio in which each diagonal is divided is equal to the ratio of the lengths of the parallel sides that they intersect, that is,Ī E E C = D E E B = A D B C. As pictured, the diagonals AC and BD have the same length ( AC = BD) and divide each other into segments of the same length ( AE = DE and BE = CE). Moreover, the diagonals divide each other in the same proportions. The diagonals of an isosceles trapezoid have the same length that is, every isosceles trapezoid is an equidiagonal quadrilateral. ![]() Diagonals and height Another isosceles trapezoid. Since the lines AD and BC are parallel, angles adjacent to opposite bases are supplementary, that is, angles ∠ ABC + ∠ BAD = 180°. In the picture below, angles ∠ ABC and ∠ DCB are obtuse angles of the same measure, while angles ∠ BAD and ∠ CDA are acute angles, also of the same measure. In an isosceles trapezoid, the base angles have the same measure pairwise.
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