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Determine the type of quadrilateral created by the points of intersection of the lines x-y+3=0, y=x-2, y = -1/2x + 5, and x+2y+12=0.

Sagot :

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.

Learn more about lines ;

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