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# Are some trapezia squares?

Question #93341. Asked by Rachel xx. (Mar 09 08 11:49 AM)

whee

No.

"Of quadrilateral figures, a square is that which is both equilateral and right-angled; an oblong that which is right-angled but not equilateral; a rhombus that which is equilateral but not right-angled; and a rhomboid that which has its opposite sides and angles equal to one another but is neither equilateral nor right-angled. And let quadrilaterals other than these be called trapezia. "
http://aleph0.clarku.edu/~djoyce/java/elements/bookI/defI22.html

 Mar 09 08, 11:54 AM
neelie_447

No-trapezoid have only one set of sides parallel, while squares have both sets of sides parallel. This chart should clear things up.

http://www.ciese.org/math/activities/shapemakers/quadrilateral_flowchart.gif

 Mar 09 08, 11:55 AM

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