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heres the question,

A rhombus has opp vertices at (-1,3) and (5,-1)

a) find the equation of its diagonals, on of the other vertices is (0,-2)

b)find the 4th vertex

so ive got the two equations, 3y+4x=7 and 2y-3x=-4.

now to find the 4th vertex i thought about the midpoint of the first diagoanl, then finding the distance between that and (0,-2), and adding that to get the other vertex, but then i realised that's just silly as i can't get a co-ordinate from that, so if somebody oculd just guide me in the right direction i would be very thankful!!

A rhombus has opp vertices at (-1,3) and (5,-1)

a) find the equation of its diagonals, on of the other vertices is (0,-2)

b)find the 4th vertex

so ive got the two equations, 3y+4x=7 and 2y-3x=-4.

now to find the 4th vertex i thought about the midpoint of the first diagoanl, then finding the distance between that and (0,-2), and adding that to get the other vertex, but then i realised that's just silly as i can't get a co-ordinate from that, so if somebody oculd just guide me in the right direction i would be very thankful!!

Are you sure 3y+4x=7 is right equation?

A rhombus is a parallelogram. That might help. Alternatively, find the distance between (0, -2) and one of the other points, and find the point that's the same distance from both of those other points.

bobson

yep, confirmed by ans book too

Hmm, I got 3y+2x=7, and both (-1,3) and (5,-1) lie on it, but not on 3y+4x=7.

If you find the equations of the parallel lines using the equations you already have (as parallel lines have the same gradients), you can find the point at which they intersect, which should be the fourth vertex.

You have two lines which aren't parallel to eachother. Each of those has a line in the rhombus that is parallel to it, and these two intersect at the vertex. That's what I'm saying, not that the parallel lines intersect.

urm, well im not a fan of asking for actual solutions, but i just don't undestand these type of questions where you have to find the missing co-ordinates,and i've got my 1st maths progress test on monday, so i could really do with a solution as i can follow it to understand the method....

Greatly appreciate any help, thanks!

Greatly appreciate any help, thanks!

A(-4,-3) B1;-1 c3;4 find D

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can someone please explain what principle domain is and why the answer is a not c?Maths

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