Question 3 - Figure it out - Page 94 - Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash)

Transcript

Question 3 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.APML is a Square. Reasoning: Diagonals Bisect: Since PL and AM are diameters, they cross at the center O. All radii are equal (OP = OL = OA = OM), so the diagonals bisect each other. Diagonals Equal: Since both are diameters of the same circle, they are equal in length. Diagonals Perpendicular: It is given that PL and AM are perpendicular Thus, APML has diagonals which are equal, and bisect at right angles So, APML is a square