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Two diagonals perpendicular

Source: 1959 AMC 12 Problem 3

August 13, 2013
geometryrhombusrectangletrapezoidAMCquadrilateralAMC 12

Problem Statement

If the diagonals of a quadrilateral are perpendicular to each other, the figure would always be included under the general classification: <spanclass=′latex−bold′>(A)</span> rhombus<spanclass=′latex−bold′>(B)</span> rectangles<spanclass=′latex−bold′>(C)</span> square<spanclass=′latex−bold′>(D)</span> isosceles trapezoid<spanclass=′latex−bold′>(E)</span> none of these <span class='latex-bold'>(A)</span>\ \text{rhombus} \qquad<span class='latex-bold'>(B)</span>\ \text{rectangles} \qquad<span class='latex-bold'>(C)</span>\ \text{square} \qquad<span class='latex-bold'>(D)</span>\ \text{isosceles trapezoid}\qquad<span class='latex-bold'>(E)</span>\ \text{none of these}
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