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If a side and two angles at either end of it (Angle-Side-Angle = ASA) of one triangle are the same measure as that of another triangle, then the two triangles are congruent.
In fact, it does not have to be the angles at the ends of the sides in question since two angles being equal means that the third pair of angle will also be equal. So as long as the ASA are in corresponding order, the triangles will be congruent.
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What do you called sss sas asa saa?
they are all postulates or shortcuts on finding 2 triangles congruence, except that SAA does not exist.
What are the congruence shortcuts?
SSS-side, side, side SAS-side, angle, side ASA-angle, side, angle SAA-side, angle, angle
Who is the father of congruence of triangles?
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.
which property can you use t prove that IF....?
reflexive property of congruence
Who discovered congruence of triangles?
Pascal (both the Persians and the Chinese) discovered the congruence of traingle during the eleventh century
