Jagathapu, Kasi Rao
(2023)
Another theorem for congruence of triangles.
At Right Angles.
35 -39.
ISSN 2582-1873
Abstract
We know that any triangle that can be constructed uniquely given three of its six elements gives rise to a congruency relation to other triangles constructed with the same given data. Based on this core concept, Euclid, in his Elements-Book 1, proposed and proved three propositions related to triangle congruency (Proposition-4, Proposition-8 and Proposition-26). These Propositions have appeared as theorems in secondary level Mathematics textbooks as the Side-Angle-Side (SAS), AngleSide-Angle (ASA) and Side-Side-Side (SSS) congruency theorems respectively. Apart from these, Right Angle-Hypotenuse-Side (RHS) too was introduced in the textbooks.
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