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nikitadnepr [17]
2 years ago
15

MATH HELP PLEASE

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
6 0

calculate the slopes of the lines using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

(x₁, y₁ ) = A(- 4, - 1) and (x₂, y₂ ) = B(-1, 2 )

m_{AB} = \frac{2+1}{-1+4} = \frac{3}{3} = 1

(x₁, y₁ ) = B(-1, 2) and (x₂, y₂ ) = (5, 1)

m_{BC} = \frac{x1-2}{5+1} = - \frac{1}{6}

(x₁, y₁) = C(5, 1 ) and (x₂, y₂ ) = D(1, - 3)

m_{CD} = \frac{-3-1}{1-5} = \frac{-4}{-4} = 1

(x₁, y₁) = A(- 4, - 1) and (x₂, y₂) = D(1, - 3 )

m_{AD} = \frac{-3+1}{1+4} = - \frac{2}{5}

Quadrilateral ABCD is not a parallelogram since only one pair of opposite sides is parallel , that is AB and CD



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