Question

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 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 . −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

Answer 1

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.

Answer 2

AB=-2
BC=1\2
CD=-3\4
AD=1\2

is that true or wrong