Question

Show that the points (0,0), (m,o)(m+n,r)and (n,r)are the vertices of a parallelogram

Answer 1

Answer:

Let's say:

A (0,0) , B(m,0) , C(m+n,r) and D(n,r)

Slope = (y2 - y1 )/(x2 - x1)

Slope(AB) = 0

Slope(BC) = (r-0)/(m+n-m) = r/n

Slope(CD) = (r-r)/(n-m-n) = 0

Slope(AD) = (r-0)/(n-0) = r/n

Slopes of opposite sides are equal, so opposite sides are parallel

Hence proved that it's a parallelogram

Answer 2

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