5 items are filed under this topic.
 |
|
|
|
|
|
|
|
|
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. |
|
|
