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Any geometric figure is congruent to itself. For example, a segment AB is always congruent to itself.
AB ≅AB
This proof can be demonstrated using any geometric figure. For simplicity, the quadrilateral ABCD shown below will be considered.
ABCD ≅ ABCD
The proof is complete.
If a given geometric object A is congruent to another geometric object B, then B is also congruent to A.
If A ≅ B, then B ≅ A.
This proof can be demonstrated using any geometric figure. For simplicity, the triangles △ ABC and △ DEF will be considered.
△ DEF≅ △ ABC
The proof is now complete.
If two geometric objects A and B are congruent, and B is also congruent to C, then A and C are congruent.
If A≅ B and B≅ C, then A≅ C.
This proof can be demonstrated using any geometric figure. For simplicity, the polygons A, B, and C will be considered.
A≅ C
The proof is now complete.