# Q: 8        ABCD is a rectangle in which diagonal AC bisects as well as . Show that:                (i) ABCD is a square

Given: ABCD is a rectangle with AB=CD and BC=AD 1=2 and 3=4.

To prove: ABCD is a square.

Proof :     1=4 .............1(alternate angles)

3=4 ................2(given )

From 1 and 2, 1=3.....................................3

1=3          (from  3 )

DC=AD             (In a triangle, sides opposite to equal angle are equal )

A rectangle whose adjacent sides are equal is a square.

Hence, ABCD is a square.

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