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

The slope of AB is - 2,

Slope of BC is

Slope of CD is

Slope of AD is ,

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 and is,

Thus, the slope of AB =

Slope of BC =

Slope of CD =

Slope of DA =

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.