Question

Verify the following points taken in order form the vertices of rhombus. A(3,-2),B(7,6),C(-1,2),D(-5,-6)

Answer 1

Answer:

As diagonals bisect each other

so mid point of Ac = Bd

(3-1)/2, (-2+2)/2 = (7-5)/2 ,(6-6)/2

= 1,0 = 1,0

ALSO IN RHOMBUS ALL FOUR SIDES ARE EQUAL

SO AB = BC= CD = AD

ALSO, IF AB and BC are not making angle 90 then it's a rhombus because that will not be a square

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