# Show that the poi

To prove: Points A, B, C, D form parallelogram.

Formula:

The distance between two points (x1,y1,z1) and (x2,y2,z2) is given by

D=

Here,

(x1,y1,z1)= (1, 2, 3)

(x2,y2,z2)= (-1, -2, -1)

(x3,y3,z3)= (2, 3, 2)

(x4,y4,z4)= (4, 7, 6)

Length AB =

=

=

=

=

Length BC =

=

=

=

=

Length CD =

=

=

=

=

=

=

=

=

Length AC =

=

=

=

=

Length BD =

=

=

=

=

Here, AB = CD which are opposite sides of polygon.

BC = AD which are opposite sides of polygon.

Also the diagonals AC and BD are not equal in length.

Hence, the polygon is not a rectangle.

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