can someone answer this
Answers
Given : Coordinates of Quadrilateral
To find : whether Quadrilateral is parallelogram or not
Solution:
D (-8 , 1) , E (-3 , 6) , F (7 , 4) , G ( 2,- 1)
DE = √5² + 5² = 5√2
EF = √10² + (-2)² = 2√26
FG = √5² + 5² = 5√2
GD = √10² + (-2)² = 2√26
opposite sides are equal Hence Quadrilateral is a Parallelogram
L (-1 , 6) , M ( 5 , 9 ) , N (0 , 2) , P (-8 , 2)
LM = (9 - 6)/(5 - (-1)) = 3/6 = 1/2
MN = (2 - 9)/(0 - 5) = 7/5
NP = ( 2 - 2)/(-8 - 0) = 0
PL = (6 - 2)/(-1 -(-8)) = 4/7
Slope of opposite lines are not equal
Hence Quadrilateral is not a Parallelogram
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