In this activity you are going to use the following tools. Make sure you know how to use each tool before you begin with the actual construction of the hexagon: Circle with center through point - Intersect two objects - Polygon - Angle - Show / hide object - Move.[br][br] [b]Construction process[/b][br][br]1. Draw a circle with center A through point B[br]2. Construct another circle with center B through point A[br]3. Intersect the two circles in order to get the vertices C and D.[br]4. Construct a new circle with center C through point A.[br]5. Intersect the new circle with the first one in order to get vertex E.[br]6. Construct a new circle with center D through point A.[br]7. Intersect the new circle with the first one in order to get vertex F.[br]8. Construct a new circle with center E through point A.[br]9. Intersect the new circle with the first one in order to get vertex G.[br]10. Draw hexagon FGECBD.[br]11. Create the angles of the hexagon.[br]12. Perform the drag test to check if your construction is correct.[br][br]Hint: You might want to have a look at the file [url] http://www.comathsnet.it/geogebra/second_task.html[/url] if you are not sure about the construction process. Below you can find its View/Construction Protocol.

Challenge: Try to find an explanation for this construction process. [br]Hint: Which radius do the circles have and why?