Consider a convex quadrilateral with vertices at ?,?,? and ? and on each side draw a square lying outside the given quadrilateral, as in the picture below. Let ?,?,? and ? be the centers of those squares:
a) Find expressions for ?,?,? and ? in terms of ?,?,? and ?.
b) Prove that the line segment between ? and ? is perpendicular and equal in length to the line segment between ? and ?.
I don't really know where to start. I think I have part B solved using similar triangles and things, but part a is really confusing. Thank you!
a) Find expressions for ?,?,? and ? in terms of ?,?,? and ?.
b) Prove that the line segment between ? and ? is perpendicular and equal in length to the line segment between ? and ?.
I don't really know where to start. I think I have part B solved using similar triangles and things, but part a is really confusing. Thank you!