there are 4 types of congruence theorem-:
ASA,SSS,RHS,SAS
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SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
Not in general. Imagine making a pentagon out of sticks connected with hinges for the vertexes. You can bend it all around, making pentagons that are not congruent to the original, even though the sides remain the same length. A similar triangle would be rigid, even if the corners were connected with hinges.
It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.
In mathematics, P.C.P.A. stands for "Principal of Corresponding Parts are Equal." This principle is often used in geometry, particularly in the context of congruent triangles, where corresponding sides and angles are equal. It helps in establishing relationships between geometric figures and proving theorems related to congruence.