Question

The coordinates of the vertices of​ quadrilateral JKLM ​ are J(−4, 1) , K(2, 3) , L(5, −3) , and M(0, −5) . Drag and drop the choices into each box to correctly complete the sentences.

Answer 1

Just took the test, hope this helps! :))))

Explanation:

Look at the picture below!

Answer 2

Given that the coordinates of the vertices of​ quadrilateral JKLM ​ are J(−4, 1) , K(2, 3) , L(5, −3) , and M(0, −5) .

The slope of the line joining two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by:


`slope= (y_2-y_1)/(x_2-x_1)`

Part A.

Given that the coordinates of the J is (−4, 1) and of K is (2, 3)

The slope of line JK is given by:


`slope= (3-1)/(2-(-4)) \\ \\ = (2)/(2+4) = (2)/(6) = (1)/(3)`



Part B:

Given that the coordinates of the L is (5, -3) and of K is (2, 3)

The slope of line LK is given by:


`slope= (3-(-3))/(2-5) \\ \\ = (3+3)/(-3) = (6)/(-3) = -2`



Part C:

Given that the coordinates of the M is (0, -5) and of L is (5, -3)

The slope of line ML is given by:


`slope= (-3-(-5))/(5-0) \\ \\ = (-3+5)/(5) = (2)/(5)`



Part D:

Given that the coordinates of M is (0, -5) and of J is (−4, 1)

The slope of line MJ is given by:


`slope= (1-(-5))/(-4-0) \\ \\ = (1+5)/(-4) = (6)/(-4) = -(3)/(2)`

Thus, quadrilateral JKLM is not a parallelogram because the opposite slopes are not equal.