Asked by Sunshine
Why is this statement NOT always true?:
The longer diagonal of the rhombus is perpendicular to two sides of the rhombus.
The longer diagonal of the rhombus is perpendicular to two sides of the rhombus.
Answers
Answered by
Steve
I'd say it's never true.
The diagonals of a rhombus are perpendicular bisectors of each other. So, unless the shorter diagonal is parallel to a side, the longer cannot be perpendicular. Since the diagonals are transversals between parallel sides, they cannot pe parallel to them.
The diagonals of a rhombus are perpendicular bisectors of each other. So, unless the shorter diagonal is parallel to a side, the longer cannot be perpendicular. Since the diagonals are transversals between parallel sides, they cannot pe parallel to them.
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