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Ans 1:
Class : Class 10
third option is correct since in a kite, diagonals intersect at right angles and kite is not a rhombus. it does not talk about bisecting.
Ans 2:
Class : Class 3
First option is wrong because a parallelogram is not always necessary to be a square or a rectangle ,as they only have diagonals equal.
Second option is wrong because rectangle does not follow this property which can be checked by using SAS congruence criteria.
Third option is wrong because if the diagonals of a quadrilateral intersect at right angles then it is necessarily a rhombus, if u are thinking that square also have this property then add up a point that every square is a rhombus.
Fourth option is wrong because every quadrilateral is not necessarily be a trapezium, a parallelogram or a kite as concave quadrilaterals are none of them.