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…
Answers:
AC = BD (Given)
& AC ⊥ BD (Given)
i.e. Diagonal of quadrilateral are equal and they are ⊥ to each other
∴ ABCD is square.
(ii)
AC ⊥ BD (Given)
But AC & BD are not equal
∴ ABCD is a rhombus.
(iii)
AC = BD but AC & BD are not ⊥ to each other
∴ ABCD is a Rectangle.