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Konstantin Lynov
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Sameer
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No Prashant bhai, (1) only tells you that the figure is a parallelogram. Yes it could also be a rhombus/Rectangle/Square.
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prashant
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anupag
No Prashant bhai, (1) only tells you that the figure is a parallelogram. Yes it could also be a rhombus/Rectangle/Square.


Agreed. But the answer remains the same. What do you say?
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Is the statement "All squres are rectangle" true?
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AkamaiBrah
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kpadma
Is the statement "All squres are rectangle" true?


All squares are special cases of rhombuses and rectangles (and trapezoids), and all rhombuses and rectangles are special cases of paralleograms which are in turn special cases of trapezoids which are in turn special cases of quadrilaterals.
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Konstantin Lynov
Is ABCD a rectangle?

1) AC(imagine: diagonal of a quadrilateral) bisect BD (imagine: another diagonal of a quadrilateral) bisect each other in point E
2) Angle ABC = 90 degrees


As I see opinions differ.
The key here lies in the word bisect, which is to divide in halfs.

From the first statement the figure could be a rombus and a rectangle. Insufficient.

From the second statement it could be anything with a 90 degree angle. Imagine an ugly figure with two relatively short sides and a 90 degree angle between them and with third and forth sides realy-realy long ones, ending up in the stratosphere. Insufficient.

Combining the statement is sufficient.



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