A Very Special Congruency Problem

Sett, K. (2020) A Very Special Congruency Problem. At Right Angles (8). pp. 73-76. ISSN 2582-1873

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The following question appears in Chapter 7 of the Class VII NCERT Mathematics textbook (page 150): Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent. Here, ‘parts’ refers to the three sides and three angles of the triangle; ‘congruent parts’ means that the corresponding parts of the two triangles are identically equal to each other. The questions that quickly come to mind are: “Why a rough sketch? Why not the exact figure?” “Is it possible to draw such pairs of triangles exactly?” We will find the answers to these questions in this article and prove some related results.

Item Type: Articles in APF Magazines
Authors: Sett, K.
Document Language:
Uncontrolled Keywords: NCERT, Congruent, Congruence criteria, SAS, SSS, ASA, AAS, RHS
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/2596
Publisher URL:

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