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

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.

Explanation:

Answer 2

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 pair of opposite sides are parallel.

Explanation:

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

Now, slope of line AB =
`(5 - 1)/(- 2 - ( - 5)) = (4)/(3)`

Slope of line BC =
`(3 - 5)/(5 - (- 2)) = - (2)/(7)`

Slope of line CD =
`(- 1 - 3)/(2 - 5) = (4)/(3)`

And slope of DA =
`(1 - ( - 1))/(- 5 - 2) = -(2)/(7)`

Therefore, 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 pair of opposite sides are parallel. (Answer)