Question

in a parallelogram abcd, if the diagonal ac & bd are equal and perpendicular to each other. the abcd is a ...........? Name the figure and write its properties....​

Answer 1

Answer:A parallelogram ABCD such that AC = BD In ΔABC and ΔDCB,

               AC = DB[Given]                AB = DC[Opposite sides of a parallelogram]                BC = CB[Common]                ΔABC = ΔDCB[SSS criteria]        ∴Their corresponding parts are equal.        ⇒∠ABC = ∠DCB...(1)        ∵AB || DC and BC is a transversal.[∵ ABCD is a parallelogram]        ∴∠ABC + ∠DCB = 180°...(2)        From (1) and (2), we have                ∠ABC = ∠DCB = 90°        i.e. ABCD is parallelogram having an angle equal to 90°.        ∴ABCD is a rectangle.

Step-by-step explanation:

Answer 2

Answer:

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