Q. 65.0( 1 Vote )

The two diagonals are equal in a
A. Parallelogram

B. Rhombus

C. Rectangle

D. Trapezium

Answer :

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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