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Congruent figures
figures with the same size and shape
rigid motions
Slide, flip, turn a shape so that it fits another one
corresponding parts
corresponding parts of congruent figures are congruent. When all corresponding parts of two triangles are congruent then the triangles are congruent.
Reflexive properties of triangle congruence
For any triangle, triangle ABC is congruent to triangle ABC
Symmetric properties of triangle congruence
if ABC is congruent to DEF then DEF is congruent to ABC
Transitive properties of triangle congruence
if ABC is congruent to DEF and DEF is congruent to JKL the ABC is congruent to JKL
Third angles theorem
If two angles of one triangle are congruent to two angles of another triangle then the third angles are also congruent