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.

Option B and D are correct.

Step-by-step explanation:

Given: Vertices of the Quadrilateral

E( -4 , 2 ) , F( 4 , 7 ) , G( 8 , 1 ) and H( 0 , -4 )

To find: Correct Statements.

Slope of EH =

Slope of EF =  

Slope of GH =

Slope of FG =  

Consider,

Slope of FG × Slope of GH

Since, Product of their slope not equal to -1.

⇒ FG is not perpendicular to GH.

Clearly from above slope of EH = Slope of FG and Slope of EF = Slope of GH

⇒ EH ║ FG and EF ║ GH

⇒ EFGH is a Parallelogram.

Therefore, Option B and D are correct.

bn,mn,n.vn.

step-by-step explanation: