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The father of congruence of triangles is Euclid, a renowned ancient Greek mathematician known as the "Father of Geometry." In his seminal work, "Elements," Euclid laid down the foundational principles of geometry, including the concept of congruence of triangles. He established the criteria for triangle congruence, such as the Side-Angle-Side (SAS) and Angle-Side-Angle (ASA) postulates, which are still fundamental in modern geometry. Euclid's contributions to the study of triangles and their congruence have had a lasting impact on mathematics and geometric reasoning.
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How the triangle similarity postulates are alike and how they differ from triangle congruence postulates?
Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.
Who discovered congruence of triangles?
Pascal (both the Persians and the Chinese) discovered the congruence of traingle during the eleventh century
Does SSA guarantees congruence between two triangles?
false
Congruence theorems for right triangles?
LL , La , HL and Ha
What is SAS Congruence Theorem?
The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.
