We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

Consider a convex quadrilateral with vertices at p, q, r and s 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.

Guest Feb 4, 2019