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