Consider a convex quadrilateral with vertices at a, b, c and d and on each side draw a square lying outside the given quadrilateral, as in the picture below. Let p,q,r and s be the centers of those squares:
a) Find expressions for p,q,r and s in terms of a,b,c and d.
b) Prove that the line segment between p and r is perpendicular and equal in length to the line segment between q and s.
This is a repost of this question:
People can answer here this time but please next time just give the address of the original quesion like i just did.
If you show people it is a repost and say you still need help people are usually more happy to help you anyway.
As you are aware, this is an advanced question. I don't know how to answer it.