I read this in a book and on wikipedia also that diagonals in a parrellogram divide it in four congruent triangles. But my friend says they do not.
Can you please provide answer with proof?
Thanks
Does diagonals in a parrellogram divide it in four congruent triangles?
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$\begingroup$
geometry
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0all of them have same area but they are not all congruent necessarily – 2017-02-27
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0This is false. To convince yourself about that, pick an A4 sheet of paper, and draw the diagonals. The lacking hypothesis here is that you need your quadrilateral to be a rhombus (all 4 sides congruent). – 2017-02-27
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0What is always true is that the diagonals in a parallelogram divide it in **two pairs** of opposite (i.e., vertex-to-vertex) congruent triangles. – 2017-02-27