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Maths as level question!!!

Two sides, AB and AD, of the parallelogram ABCD have equations 7y-x+13=0 and 9x-y+7=0, respectively, and the centre of the parallelogram is the point P(3,3). Calculate the co-ordinates of the four vertices A, B, C and D.
Original post by econflower
Two sides, AB and AD, of the parallelogram ABCD have equations 7y-x+13=0 and 9x-y+7=0, respectively, and the centre of the parallelogram is the point P(3,3). Calculate the co-ordinates of the four vertices A, B, C and D.


Draw it out.

P is the midpoint of the diagonals AC and BD. Point A can be found immediately from the given equations. After A, you can find C quite simply as well by considering A and M. After that, construct some equations to find B and then D.

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