Consider a circle with centre \(O\). Line segments \(PL\) and \(AM\) are two perpendicular diameters of the circle. What is the figure \(APML\)? Reason and/or experiment to figure this out.
Given that \(PL\) and \(AM\) are two perpendicular of the circle withe centre \(O\) and radius \(r\).
| Statement | Reason |
| \(PO = OL = AO = OM = r\) | |
| \(PL = \) \(=r+r = 2r\) and \(AM =\) \(=r+r = 2r\) |
Diagonals |
| Hence, | Comparing \(PL\) and \(AM\) |
| \(APML\) is a | In quadrilateral \(APML\), the diagonals \(PL\) and \(AM\) are equal in length and are perpendicular bisector of each other. |