The coordinates of the vertices of quadrilateral abcd are a(−4, −1) , b(−1, 2) , c(5, 1) , and d(1, −3) . 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 a parallelogram because .

Part 1)

Part 2)

Part 3)

Part 4)

Step-by-step explanation:

we know that

In a parallelogram opposite sides are parallel and congruent

The formula to calculate the slope between two points is equal to

we have

A(−4, −1) , B(−1, 2) , C(5, 1) , and D(1, −3)

step 1

Find the slope AB

substitute in the formula

step 2

Find the slope BC

substitute in the formula

step 3

Find the slope CD

substitute in the formula

step 4

Find the slope AD

substitute in the formula

step 5

Compare the slopes

Remember that

If two lines are parallel, then their slopes are the same

so

AB is parallel to CD

BC is not parallel to AD

therefore

Quadrilateral ABCD is not a parallelogram because the opposite sides are not parallel

step-by-step explanation:

subtract 7, so the answer is x < = 3, or c.

step-by-step explanation: