lesson
Verifying the Triangle Inequality Theorem with Constructions
Use compass and straightedge constructions to verify that the sum of any two sides of a triangle exceeds the third.
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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
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- 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 TheoremNot started yet
- Verifying the Triangle Inequality Theorem with ConstructionsYou are here
- 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)(C)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeselect tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
Open Global Standard:OGM.11.GEO.2
OGM.11.GEO.2