lesson
Investigating the Triangle Inequality Theorem
Explore the Triangle Inequality theorem through constructions and measurements to determine when three lengths can form a triangle.
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This lesson is part of a track
Public learning track
Investigating Geometric Conjectures with Constructions
8 lessons
Goal
Use compass-and-straightedge constructions to make and verify conjectures about geometric relationships, including tangent lines, bisector properties, and the Triangle Inequality Theorem.
8 lessons
0 of 8 done
- Constructing a Tangent from an External Point to a CircleUp next
- Using Constructions to Verify Geometric ConjecturesNot started yet
- Making Conjectures from Congruent Segment ConstructionsNot started yet
- Making Conjectures from Angle Bisector ConstructionsNot started yet
- Making Conjectures from Perpendicular Bisector ConstructionsNot started yet
- Investigating the Triangle Inequality TheoremYou are here
- Verifying the Triangle Inequality Theorem with ConstructionsNot started yet
- Applying the Triangle Inequality Theorem to Solve ProblemsNot started yet
Learning standards covered
111.41(b)(5)(D)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeverify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.
Open Global Standard:OGM.11.GEO.2
111.41(b)(1)(B)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeuse a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;
Open Global Standard:OGM.11.GEO.1
OGM.11.GEO.2OGM.11.GEO.1