Math, asked by jayasreetalapanti, 18 hours ago

(-3,1),(-6,-7),(3,-9),(6,-1) taken in order form a parallelogram​

Answers

Answered by darkkrishnandud212
1

Step-by-step explanation:

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Answered by Divya25125
4

Let the given points be represented by A(-3, 1), B(-6, -7), C(3, -9) and D (6.-1).

We know that if a pair of opposite sides of a quadrilateral are parallel and congruent, then it is a PARALLELOGRAM.

The lengths of the opposite sides AB and CD are calculated, using distance formula, as follows :

</p><p>AB={(-6+3)^2+(-7-1)^2}={9+64}={73},\\\\CD={(6-3)^2+(-1+9)^2 }=\sqrt{9+64}={73}</p><p> </p><p>

And, the slopes of the sides AB and CD are calculated as follows :

  • Since the lengths and slopes of a pair of opposite sides AB and CD are equal, so ABCD is a parallelogram.

Hence showed.

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