Make models to show why some (two, to be exact) triangle congruence shortcuts do not necessarily create congruent triangles. Present the examples on sheets of paper or on posterboard.
In addition, look up the Triangle Inequality theorem. Create models to demonstrate why the Triangle Inequality theorem must be true. (Show what happens if it is not true.) Your work will be displayed in the room.
Completion of this project requires:
1. Model or diagram of non-valid triangle congruencies (label the attempted "shortcut" to congruent triangles.) Two shortcuts with counterexamples means there will be at least four triangles presented.
a. Triangles can be on paper or posterboard. Creation suggestions - uncooked linguine noodles!
2. Model or diagram of the Triangle Inequality theorem: any two sides of a triangle must be greater than the length of the third side. Three triangles must be modeled for this. (Creation suggestion is STILL linguine noodles!)
a. the third side longer than the sum of the other two side lengths
b. the third side's length equal to the sum of the other two side lengths
c. the third side's length less than the sum of the other two side lengths
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