Low floor high ceiling tasks : in-cyclic quads

Sircar, Swati (2019) Low floor high ceiling tasks : in-cyclic quads. At Right Angles (5). pp. 47-50. ISSN 2582-1873

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Abstract

E very triangle has a circumcircle and an incircle. But is that true for every quadrilateral? Definitely not; there are quads which are not cyclic (recall that a quad with a circumcircle is called ‘cyclic’). But what about quads with incircles? In this Low Floor High Ceiling article, we not only explore the if and only if condition for a quad to have an incircle, but also reflect a certain duality. It is more fun if students are exposed to Tasks 1 and 2 before they learn the theorems related to cyclic quads.

Item Type:	Articles in APF Magazines
Authors:	Sircar, Swati
Document Language:	Language English
Uncontrolled Keywords:	Quadrilaterals, centre, in-circle, in-radius, generalisation, differentiated teaching, pedagogy.
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/2136
Publisher URL:

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