Jagathapu, Kasi Rao
(2023)
Another theorem for congruence of triangles.
At Right Angles.
35 39.
ISSN 25821873
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 ElementsBook 1, proposed and proved three propositions related to triangle congruency (Proposition4, Proposition8 and Proposition26). These Propositions have appeared as theorems in secondary level Mathematics textbooks as the SideAngleSide (SAS), AngleSideAngle (ASA) and SideSideSide (SSS) congruency theorems respectively. Apart from these, Right AngleHypotenuseSide (RHS) too was introduced in the textbooks.
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