Q. 65.0( 1 Vote )

# The two diagonals are equal in aA. ParallelogramB. RhombusC. RectangleD. Trapezium

Let ABCD is a rectangle

AC and BD are the diagonals of rectangle

In ΔABC and ΔBCD, we have

AB = CD (Opposite sides of rectangle are equal)

ABC = BCD (Each equal to 90o)

BC = BC (Common)

Therefore,

ABC BCD (By SAS congruence criterion)

AC = BD (c.p.c.t)

Hence, the diagonals of a rectangle are equal.

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