You may also like

problem icon

Bendy Quad

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

problem icon

Long Short

What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?

problem icon

Diagonals for Area

Can you prove this formula for finding the area of a quadrilateral from its diagonals?

Cyclic Quad Jigsaw

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Someone showed me this picture of a quadrilateral made by joining together five smaller quadrilaterals.

Cyclic

It made me think about special cases...

Could I draw a version of this image where all five of the smaller quadrilaterals are cyclic? I tried it out and have tried to capture what I did, and what the question was that it made me want to answer, in the video below:

This text is usually replaced by the Flash movie.

Can you convince us that the largest quadrilateral is also cyclic?