Question

What type of quadrilateral is created by the points: L (-5,4), M (2,2), N (0,-3), S (-7,-1)

Answer 1

Given same lengths and slopes of the opposite sides and nature of the angle between adjacent sides, we have;

• The type of quadrilateral is a parallelogram

How can the type of quadrilateral be found?

The given points are;

L(-5, 4), M(2, 2), N(0, -3), S(-7, -1)

Lengths of the sides are;

Length of LM = √((2-(-5))²+(2-4)²) ≈ √(53)

Length of MN = √((2-0)²+(2-(-3))²) ≈ √(29)

Length of NS = √((0-(-7))²+((-3)-(-1))²) ≈ √(53)

Length of LS = √(((-7)-(-5))²+((-1)-4)²) ≈ √(29)

Therefore;

• The lengths of opposite sides are the same.

Slope of LM = (2-4)/(2-(-5)) = -2/7

Slope of MN = (2-(-3))/(0-2) = 5/2

Slope of NS = ((-3)-(-1))/(0-(-7)) = -2/7

Slope of LS = ((-1)-4)/(-7-(-5)) = 5/2

Therefore;

• The opposite sides are parallel, and

• The the adjacent sides are not perpendicular

The quadrilateral created by the points L(-5, 4), M(2, 2), N(0, -3), S(-7, -1) is therefore;

• A parallelogram

Learn more about parallelograms here:

brainly.com/question/1100322

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