Question

MATH HELP NEEDED!

The coordinates of the vertices of quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1) .


Drag and drop the choices into each box to correctly complete the sentences.

Answer 1

Slope of AB is
`-(7)/(4)`

Slope of BC is
`(1)/(7)`

Slope of CD is
`-(5)/(3)`

Slope of AD is
`(1)/(2)`

Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides is parallel.

Explanation:

Slope of a line joining two points (
`x_(1) ,y_(1)`) and (
`x_(2) ,y_(2)`) is given by
`(y_(2)-y_(1) )/(x_(2)-x_(1))`.

By applying this formula we get the slopes of lines AB,BC,CD and AD as given above.

We can see none of the lines are parallel to each other as they have different slopes.Hence the quadrilateral ABCD is neither a parallelogram(where pair of opposite sides are parallel) nor a trapezoid(where only one pair of opposite side is parallel).