Show that points P(1, -2), Q (5,2), R(3.-1), S (- 1,-5)
are the vertices of a Parallelogram.
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Answer:
Find Distance between every pair of points. If Distances are coming equal , then it is a rhombus/square which is also a special case of parallelogram.
If all lengths are not coming equal , but 2 sets of distances are coming equal , then it is a rectangle or a parallelogram.
Use the Formula for finding distance between 2 points.
sqrt.[(x2-x1)^2 + (y2-y1)^2]
where x1,x2 are X coordinates of point you selected
y1,y2 are Y coordinates .
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