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cupoosta [38]
3 years ago
12

The coordinates of the vertices of quadrilateral ABCD are A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2) . Drag and drop the choic

es 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 . −2−34122a 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
Mathematics
2 answers:
luda_lava [24]3 years ago
7 0

Answer:

The slope of AB is - 2,

Slope of BC is \frac{1}{2}

Slope of CD is -\frac{3}{4}

Slope of AD is \frac{1}{2},

ABCD is trapezoid because one pair of opposite sides is parallel.

Step-by-step explanation:

Given vertices of quadrilateral ABCD,

A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2),

∵ Slope of a line passes through two points (x_1, y_1) and (x_2, y_2) is,

m=\frac{y_2-y_1}{xc_2-x_1}

Thus, the slope of AB = \frac{3+1}{-3+1}=\frac{4}{-2}=-2

Slope of BC = \frac{5-3}{1+3}=\frac{2}{4}=\frac{1}{2}

Slope of CD = \frac{2-5}{5-1}=-\frac{3}{4}

Slope of DA = \frac{-1-2}{-1-5}=\frac{-3}{-6}=\frac{1}{2}

Since, when two line segment having the same slope then they are parallel to each other.

∴ BC ║ DA

A quadrilateral only having two parallel sides is called trapezoid,

Hence, ABCD is a trapezoid.

Verizon [17]3 years ago
4 0
AB=-2
BC=1\2
CD=-3\4
AD=1\2

is that true or wrong
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