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The coordinates of the vertices of quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1) . Drag and drop the choices into each box to correctly complete the sentences. The slope of AB ¯ ¯ ¯ ¯ ¯ is , the slope of BC ¯ ¯ ¯ ¯ ¯ is , the slope of CD ¯ ¯ ¯ ¯ ¯ is , and the slope of AD ¯ ¯ ¯ ¯ ¯ is . Quadrilateral ABCD is because . − 7 4 − 5 3 1 7 1 2 a parallelograma trapezoidneither a parallelogram nor a trapezoidboth pairs of opposite sides are parallelonly one pair of opposite sides is parallelneither pair of opposite sides is parallel

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The coordinates of the vertices of quadrilateral ABCD are neither a parallelogram nor a trapezoid

The coordinates of the vertices of quadrilateral ABCD are:

A(0, −4)

B(−4, 3)

C(3, 4) , and

D(6, −1)

Slope of the line AB =[tex]\frac{3-(-4)}{-4-0} =-\frac{7}{4}[/tex]

Slope of the line BC =[tex]\frac{4-3}{3-(-4)} =\frac{1}{7}[/tex]

Slope of the line CD =[tex]\frac{-1-4}{6-3} =-\frac{5}{3}[/tex]

Slope of the line AD is

[tex]\frac{-1-(-4)}{6-0} =\frac{3}{6}\\=\frac{1}{2}[/tex]

Here we see that as the

Slope of the line AB ≠Slope of the line CD and

Slope of the line BC≠ Slope of the line AD

Therefore the coordinates of the vertices of quadrilateral ABCD are neither a parallelogram nor a trapezoid.

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