Question

prove that each set of co-ordinate are the vertices of parallelogram
(5,-3) (1,-11) (7,-6) (1,2)


please help me....

Answer 1

hi mate here is ur answer

A(5,-3), B ( 1,-11) C(7,6) AND D (1,2)

USING DISTANCE FORMULAE

find the distance of AB ,BC,CD,DA ,AC, DB

THE DISTANCE OF AB

√(5-1)^2 + (-3-(-11))^2

=√(4)^2+ (8)^2

=√16+64

=√80

THE DISTANCE OF BC

SIMILARLY FIND THE DISTANCE

=√61

THE DISTANCE OF CD

=√100

THE DISTANCE OF DA

=√41

THE DISTANCE OF AC

=√13

THE DISTANCE OF DB

= √81

THESE ARE NOT THE VERICES OF A PARALLELOGRAM BECAUSE OPPOSITE SIDES ARE NOT EQUAL AND DIAGNOLS ARE ALSO NOT EQUAL

HOPE IT HELPS!!!