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Re: In trapezium ABCD, AB || CD and AC = BD. If area of the trapezium is 6 [#permalink]
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The diagonals of a rectangle are equal.

In a trapezium, only one pair of sides are parallel.

Therefore, every trapezium is not a rectangle.

Via cuemath https://www.cuemath.com/ncert-solutions ... -or-false/

See also here https://gre.myprepclub.com/forum/gre-ge ... tml#p82079
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Re: In trapezium ABCD, AB || CD and AC = BD. If area of the trapezium is 6 [#permalink]
If AD and BC are also equal, wouldn't the diagonal in the trapezium also be the same?

[quote="Carcass"]The diagonals of a rectangle are equal.

In a trapezium, only one pair of sides are parallel.

Therefore, every trapezium is not a rectangle.
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Re: In trapezium ABCD, AB || CD and AC = BD. If area of the trapezium is 6 [#permalink]
Its not given the parallel lines are equal to each other
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