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 .

The slope of AB is -7/4, the slope of BC is 1/7 , the slope of CD is 5/3, and the slope of AD is 2. So, Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides are parallel.

Step-by-step explanation:

Since, a quadrilateral having,

One pair of parallel opposite sides is Trapezoid,

While, having two pair of parallel opposite sides is parallelogram.

Since, the slope of a line segment having the end points and is,

Here, the vertices of the quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1),

Slope of AB =

Slope of BC =

Slope of CD =

Slope of AD =

Hence, Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides are parallel.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it