Abcd Is Parallelogram

ABCD is a parallelogram. What kind of quadrilateral is it if : (i) AC = BD and AC is perpendicular to … AC = BD but AC is not…


AC = BD (Given)

&  AC ⊥ BD (Given)

i.e. Diagonal of quadrilateral are equal and they are ⊥ to each other

∴ ABCD is square.



AC ⊥ BD (Given)

But AC & BD are not equal

∴ ABCD is a rhombus.



AC = BD but AC & BD are not ⊥ to each other

∴ ABCD is a Rectangle.