Q: 2 If the diagonals of a parallelogram are equal, then show that it is a rectangle.
Given: ABCD is a parallelogram with AC=BD.
To prove: ABCD is a rectangle.
Proof : In ABC and BAD,
BC= AD (Opposite sides of parallelogram)
AC=BD (Given )
ABC BAD (By SSS)
and (co - interior angles)
Hence, it is a rectangle.