Question

The coordinates of the vertices of quadrilateral JKLM are J(-4,

1), K(2, 3), L(5,
3), and M(0,
5)
Drag and drop the choices into each box to correctly complete the sentences.

Answer 1

Slope:

JK = (1/3)

LK = (-2)

ML = (2/5)

MJ = (-3/2)

Quadrilateral JKLM is not a parallelogram because the slopes don't match.

Explanation:

Slope = m

JK = (-4, 1), (2, 3)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 3 - 1 2 2 1

m = ------------ = ------------- = ---------- = --------- = -------

x₂ - x₁ 2 - (-4) 2 + 4 6 3

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LK = (5, -3), (2, 3)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 3 - (-3) 3 + 3 6

m = ------------ = ------------- = ---------- = --------- = -2

x₂ - x₁ 2 - 5 -3 -3

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ML = (0, -5), (5, -3)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ -3 - (-5) -3 + 5 2

m = ------------ = ------------- = ---------- = ---------

x₂ - x₁ 5 - 0 5 5

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MJ = (0, -5), (-4, 1)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 1 - (-5) 1 + 5 6 -3

m = ------------ = ------------- = ---------- = --------- = -------

x₂ - x₁ -4 - 0 -4 -4 2

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I hope this helps!