Three consecutive vertices of a parallelogram are (-2,1),(1,0) and (4,3).find coordinates of the fourth vertex.?
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Answered by
25
we know midpoint of diagonal of parallelogram are always same
hence ,
midpoint of (-2,1) and (4,3)=midpoint of (x,y) and (1,0)
where (x,y) is unknown vertex of parallelogram.
x=(-2+4)/2=1
y=(1+3)/2=2
hence unknown vertex (1,2 )
hence ,
midpoint of (-2,1) and (4,3)=midpoint of (x,y) and (1,0)
where (x,y) is unknown vertex of parallelogram.
x=(-2+4)/2=1
y=(1+3)/2=2
hence unknown vertex (1,2 )
Answered by
4
Answer:
mp of ac = mp of bd
for x coordinate
-2+4/2=x+1/2
2×2=2x+2
4-2=2x
2/2=x
x=1
for y coordinate
1+3/2=y+0/2
4/2=y/2
8=2y
8/2=y
y=4
hence 4th vertex will be (1,4)
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