GEOM.MATH.5.D
Verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
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Triangle Inequality theoremconstructionsproblems
Skills
- verify (Triangle Inequality theorem using constructions) #dok3
- apply (Triangle Inequality theorem to solve problems) #dok3
Learning Targets
- I can construct triangles and explore their side lengths to investigate the Triangle Inequality theorem. #dok2
- I can verify the Triangle Inequality theorem using geometric constructions. #dok3
- I can apply the Triangle Inequality theorem to determine if a set of side lengths can form a triangle. #dok3
- I can solve problems that require the use of the Triangle Inequality theorem in real-world or geometric contexts. #dok3
Big Ideas
- Geometric constructions can be used to visually explore and verify fundamental geometric theorems such as the Triangle Inequality theorem.
- The Triangle Inequality theorem limits the possible side lengths that can form a triangle and is essential for understanding triangle existence.
Essential Questions
- How can constructions provide evidence for the Triangle Inequality theorem?
- Why does any two sides of a triangle have to add up to more than the third side?
- How do you determine if a set of three lengths can form a triangle?
- In what ways can the Triangle Inequality theorem be applied to solve real-world and mathematical problems?
- What would happen if the sum of two sides of a triangle was equal to or less than the third side?