Sett, K.
(2020)
A Very Special Congruency Problem.
At Right Angles (8).
pp. 7376.
ISSN 25821873
Abstract
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.
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