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Question

ABCD is a square. Points E(4,3) and F(2,5) lie on AB and CD, respectively, such that EF divides the square in two equal parts. If the coordinates of A are (7,3), the other coordinates of the vertices can be

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Solution

EismidpointofABcoordinateofB(x,y)x+72=4x=1,3+y2=3,y+3=6,y=3
and mid point of EF are point of interaction of diagonals.
(4+22)=3,(3+52)=40(3,4)
Hence coordinate of D,
x1+12=3,x1+1=6,x1=5y1+32=4,y1+3=8,y=5
and coordinate of C, (x2,y2)
x2+72=3,x2=1y2+32=4,y2=5

1216694_1054030_ans_cb163d2f6a34438989df4dbec57c39fa.PNG

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