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    kcin1000's Avatar
    kcin1000 Posts: 2, Reputation: 1
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    #1

    Nov 20, 2006, 05:47 AM
    Is rectangle a trapezoid?
    Am actually a math teacher here in the Philippines. One my supervisors observed me in one of my classes. During that time, I'd ask my students to decide whether the given statement is true or false. One of the statements is like this " Rectangle is a trapezoid " . Most of students answered me false. I said the statement is true because all properties of trapezoid can be found on a rectangle. My supervisor told me that I made a mistake with that explanation. Any comment .
    RickJ's Avatar
    RickJ Posts: 7,762, Reputation: 864
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    #2

    Nov 20, 2006, 06:02 AM
    The usual definition of a trapezoid requires that it have exactly one pair of parallel sides. However, the UCSMP textbook Geometry (1997) - and other sources - has the definition "a quadrilateral with at least one pair of parallel sides."

    ... so it's debatable.

    See more here: http://www.google.com/url?sa=X&start...pJxKBZN_MTdy8=
    Tuscany's Avatar
    Tuscany Posts: 1,049, Reputation: 229
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    #3

    Nov 20, 2006, 06:08 AM
    A rectangles definition is -a quadrilateral with two pairs of parallel sides whose angles measure 90° each

    A trapeziod does not have 4 90 degree angles in it.

    But your question is a good one, because before looking it up I would agree 100% with you. And I teach math as well!
    kcin1000's Avatar
    kcin1000 Posts: 2, Reputation: 1
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    #4

    Nov 20, 2006, 06:21 AM
    Quote Originally Posted by Tuscany
    A rectangles definition is -a quadrilateral with two pairs of parallel sides whose angles measure 90° each

    A trapeziod does not have 4 90 degree angles in it.

    But your question is a good one, because before looking it up I would agree 100% with you. And I teach math as well!!
    I think you got me wrong
    I said a rectangle is a trapezoid
    Not a trapezoid is a rectangle
    The stwo statements are different.
    Try to analyze first.
    Anyway thanks for your time.
    Am expecting your reply ma'am
    RickJ's Avatar
    RickJ Posts: 7,762, Reputation: 864
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    #5

    Nov 20, 2006, 06:25 AM
    The definition of a Trapezoid varies from source to source. See here and here.


    ... so some say a triangle IS a trapezoid and others say it is not.
    bob235235's Avatar
    bob235235 Posts: 1, Reputation: 1
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    #6

    Jan 25, 2011, 06:52 PM
    No, because a trapezoid has exactly one pair of opposite parallel sides.

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