1959 AHSME Problems/Problem 3

Problem 3

If the diagonals of a quadrilateral are perpendicular to each other, the figure would always be included under the general classification: $\textbf{(A)}\ \text{rhombus} \qquad\textbf{(B)}\ \text{rectangles} \qquad\textbf{(C)}\ \text{square} \qquad\textbf{(D)}\ \text{isosceles trapezoid}\qquad\textbf{(E)}\ \text{none of these}$

Solution

Note that a kite has perpendicular diagonals, but is not a subcategory of any of the existing answer choices. Therefore, the answer is $\boxed{\textbf{E}}$

1959 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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1959 AHSME Problems/Problem 3

Problem 3

Solution

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