# Show that points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertices of aparallelogram.

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)

Slope of a line between two points (a,b) and (c,d) is

Distance PQ = =

Distance QR = =

Distance RS = =

Distance SP = =

Slope PQ =

Slope QR =

Slope RS =

Slope SP =

As opposite sides are equal and parallel, the points from a parallelogram.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Chemical Co-ordination VS Neural Co-ordination48 mins
Quiz | Chemical Co-ordination47 mins
Some Interesting Proofs in Geometry36 mins
Section Formula30 mins
Quiz | Neural Co-ordinataion51 mins
Previous Year RMO Questions43 mins
NCERT | Most Important Proofs for Boards28 mins
Foundation | Human Endocrine System58 mins
Human Brain52 mins
Know About Important Proofs in Triangles33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses