Answer:
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.