  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: cyclic quadrilateral   start over

5 items are filed under this topic.    Page1/1            A cyclic quadrilateral 2014-03-28 From Carly:Suppose ABCD is a cyclic quadrilateral, i.e A, B, C, and D are the points on a circle, given in order going around the circle. Show that if we join each of A, B, C, and D to the orthocentre of the triangle formed by the other three, then the resulting line segments all intersect in a common midpoint. Thank you.Answered by Chris Fisher.     If a parallelogram is a cyclic quadrilateral then it is a rectangle 2012-02-01 From Kim:Show that if a parallelogram is a cyclic quadrilateral then it is a rectangle. Hint: Observe that in a parallelogram ABCD we always have Triangle ABC is congruent to Triangle CDA.Answered by Robert Dawson and Chris Fisher.     A cyclic quadrilateral 2011-08-15 From Tim:Hi! I've been working on this for a while and I'm quite stuck. If anyone can help that would be great. The sides BC and AD of a quadrilateral ABCD are parallel. A circle meets the side AB at B and E and the side CD at C and F. Prove that the quadrilateral AEFD is cyclic.Answered by Chris Fisher.     A cyclic quadrilateral 2009-01-23 From Murtaza:Line ATB touches a circle at T and TC is a diameter. AC and BC cut the circle at D and E respectively.Prove that the quadrilateral ADEB is cyclic.Answered by Robert Dawson and Chris Fisher.     A cyclic quadrilateral 2006-11-20 From Namrata:If two sides of a cyclic quadrilateral are parallel, prove that (1) remaining two sides are equal, (2) both diagonals are equal.Answered by Penny Nom.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français