If trangle ABC is congruent to triangle DEF, then two
things must be true.
1. The three sides of ABC are congruent to corresonding
sides of DEF.
2. The three interior angles of ABC are congruent to corresponding
angles of DEF.
In other words the six parts of ABC must be congruent to the six parts
of DEF. We can say two triangles are congruent if we know that certain
combinations of parts (sides or angles) in triangle ABC are congruent to
corresponding parts in triangle DEF.
Explore the following sketches to discover which combinations of parts
determine congruent triangles.
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