Question

The coordinates of the vertices of quadrilateral ABCD are A(-5, 1), B(-2,5), C(5, 3),
and D(2, -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

Answer 1

Answer:

The slope of AB is $\frac{4}{3}$, the slope of BC is $- \frac{2}{7}$, the slope of CD is $\frac{4}{3}$, and the slope of AD is $- \frac{2}{7}$, Quadrilateral ABCD is a parallelogram because both pair of opposite sides are parallel.

Step-by-step explanation:

The quadrilateral ABCD has vertices A(-5,1), B(-2,5), C(5,3) and D(2,-1).

Now, slope of line AB = $\frac{5 - 1}{- 2 - ( - 5)} = \frac{4}{3}$

Slope of line BC = $\frac{3 - 5}{5 - (- 2)} = - \frac{2}{7}$

Slope of line CD = $\frac{- 1 - 3}{2 - 5} = \frac{4}{3}$

And slope of DA = $\frac{1 - ( - 1)}{- 5 - 2} = -\frac{2}{7}$

Therefore, the slope of AB is $\frac{4}{3}$, the slope of BC is $- \frac{2}{7}$, the slope of CD is $\frac{4}{3}$, and the slope of AD is $- \frac{2}{7}$, Quadrilateral ABCD is a parallelogram because both pair of opposite sides are parallel. (Answer)

Answer 2

Answer:

The slope of AB is 4/3, the slope of BC is -2/7, the slope of CD is 4/3, and the slope of AD is -2/7. Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.

Step-by-step explanation: