Question

Show that the opposite sides of a quadrilateral with vertices A(-2,-4),B(5,-1),C(6,4),D(-1,1) taken in order are parallel.

Answer 1

midpoints of a quadrilateral are equal if they are parallel

midpoint=(x1+x2/2,y1+y2/2)

let us take the points ofA and C

=(-2+6/2,-4+4/2)

=(2,0)

next we will take the points of B and D

midpoint=(x1+x2/2,y1+y2/2)

=(5-1/2,-1+1/2)

=(2,0)

midpoint of AC and BD are equal and hence it is parallel.

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