The coordinates of the vertices of quadrilateral abcd are a(−5, 1) , b(−2, 5) , c(5, 3) , and d(2, −1) . complete the following sentences. drag and drop the choices into each box to correctly complete the sentences. the slope of the slope of bc is the slope of cd and the slope of ad quadrilateral abcd is a word bank 1) 4/3 2) -2/7 3) -1/3 4) 3/2 5) a parallelogram 6) a trapezoid 7) neither a parallelogram or a trapezoid 8) both pairs of opposite sides are parallel 9) only one pair of opposite sides are parallel 10) neither pair of opposite sides are parallel

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

Slope of AB :

Slope of BC :

Slope of CD :

Slope of AD :

.

Therefore,

The slope of AB 1) 4/3, the slope of BC is 2) -2/7, the slope of CD is1) 4/3, and the slope of AD is 2) -2/7.

Quadrilateral ABCD is a 5) parallelogram  because 8) both pairs of opposite sides are parallel.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq