Aquadrilateral has vertices e(–4, 2), f(4, 7), g(8, 1), and h(0, –4). which statements are true? check all that apply.
a) the slope of eh is -8/5
b) the slopes of ef and gh are both 5/8
c) fg is perpendicular to gh.
d) quadrilateral efgh is a parallelogram because both pairs of opposite sides are parallel.
e) quadrilateral efgh is a rectangle because all angles are right angles.

D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.

B) The slopes of EF and GH are both 5/8

Step-by-step explanation:

this question is best illustrated in a graph sheet, all the co-ordinates of each point is plotted in a X, Y axis graph. with the graph plotted, the following deduction can be made about each answer choices:

For option A

A) The slope of EH is 3/2 and not -8/5

For EH, slope = (2--4)/(0--4) = 6/4 =3/2

For option B

B) The slopes of EF and GH are both 5/8

slope of a graph can be determined by rise divided by run (change in y axis/ change in x axis)

For EF, slope = (7-2)/(4--4) = 5/8

for GH, slope =  (1--4)/(8-0) = 5/8

For option C

C) FG is perpendicular to GH, its cant be determined but since it is concluded that the quadrilateral is a parallelogram, therefore this option is wrong.

For option D

D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.

slope of a graph can be determined by rise divided by run (change in y axis/ change in x axis)

For EF, slope = (7-2)/(4--4) = 5/8

for GH, slope =  (1--4)/(8-0) = 5/8

For EH, slope = (2--4)/(0--4) = 6/4 =3/2

for FG, slope =  (7-1)/(8-4) = 6/4 =3/2

EF and GH give the same slope, likewise EH and FG and they are opposite to each other, this make them parallel.

therefore, EFGH is a parallelogram

B and D is right on edge

Step-by-step explanation:

answer: do you still need this?

yor answer is 7/6 times 5

step-by-step explanation: