Q. 64.8( 6 Votes )

# Show that the poi

Answer :

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

Formula:

The distance between two points (x_{1},y_{1},z_{1}) and (x_{2},y_{2},z_{2}) is given by

D=

Here,

(x_{1},y_{1},z_{1})= (1, 2, 3)

(x_{2},y_{2},z_{2})= (-1, -2, -1)

(x_{3},y_{3},z_{3})= (2, 3, 2)

(x_{4},y_{4},z_{4})= (4, 7, 6)

Length AB =

=

=

=

=

Length BC =

=

=

=

=

Length CD =

=

=

=

=

Length AD =

=

=

=

=

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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