Answer :
The set of parallel lines in a quadrilateral leads to the parallelogram.
What is a quadrilateral?
Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Line M
x - y + 3 = 0,
y = x + 3
m = 1
Line L
y = x - 2,
m = 1
Line N
y = -1/2x + 5,
m = -0.5
Line P
x+2y+12=0
y = -x/2 - 6
m = -0.5
Here we can see that the slope of line M and L are equal and slope of line N and P are equal.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Hence, the set of parallel lines in a quadrilateral leads to the parallelogram.
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