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in Co-ordinate Geometry by (46.9k points)
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Show that points P (2, -2), Q (7, 3), R (11, -1) and S (6, -6) are vertices of a parallelogram.

1 Answer

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by (47.6k points)
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Best answer

Proof:

Distance between two points

PQ = RS … [From (i) and (iii)] 

QR = PS … [From (ii) and (iv)] 

A quadrilateral is a parallelogram, if both the pairs of its opposite sides are congruent.

∴ □ PQRS is a parallelogram. 

∴ Points P, Q, R and S are the vertices of a parallelogram.

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