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hey - need help with maths

1) The vertex A if a square ABCD is at the point (6, -4 ) . The diagnol BD has equation 2y-x=6, and the vertex B is closer to the origin than D.

a)calculate the coordinates of the centre of the square.

b)calculate the coordinates of B and C.

2) Calculate the coordinates of the centre of the circle that pass through (0,2) , (4,8) and the origin O.

I attempted 1a and 2 and got random answers... which were not on the answers page. I couldn't do b. pls can someone show me the actual working as i can figure the answer on the answers page anyways

i need to know how to work these out - they're hard :/

Reply 1

Hasufel

try drawing a graph and look at the points

SQUARE.jpg7.5KB

Reply 2

TenOfThem

Original post by Maths help

Are you aware that the diagonals of a square bisect each other at right angles?

Reply 3

Maths help

Original post by TenOfThem

Are you aware that the diagonals of a square bisect each other at right angles?

Yes, but pls can you show me setting out your working?

Reply 4

TenOfThem

Original post by Maths help

Yes, but pls can you show me setting out your working?

You need to find the equation of the line through A and then find where it meets the line BD - that is the centre

Reply 5

Maths help

Original post by TenOfThem

You need to find the equation of the line through A and then find where it meets the line BD - that is the centre

How do you find B and D though? And help solve my other questions pls is all I meant?

Reply 6

davros

Original post by Maths help

How do you find B and D though? And help solve my other questions pls is all I meant?

Have you tried any of this yet?

Did you get the equation of the other diagonal through A, and have you established where the centre of the square is located?