lesson
Triangle Midsegment Theorem: Proof and Applications
Prove that a midsegment of a triangle is parallel to the third side and half its length, then apply this to solve problems.
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Special Segments in Triangles and the Pythagorean Theorem
8 lessons
Goal
Prove and apply the midsegment theorem, investigate medians and the centroid, and prove the Pythagorean Theorem using triangle similarity, then combine all triangle relationships to solve multi-step problems.
8 lessons
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- Understanding Triangle MidsegmentsUp next
- Triangle Midsegment Theorem: Proof and ApplicationsYou are here
- Applying the Midsegment Theorem to Solve ProblemsNot started yet
- Understanding Medians of TrianglesNot started yet
- Properties of Triangle Medians and the CentroidNot started yet
- Proving the Pythagorean Theorem Using Triangle SimilarityNot started yet
- Pythagorean Theorem: Finding Missing Sides of Right TrianglesNot started yet
- Applying Triangle Relationships to Solve Multi-Step ProblemsNot started yet
Learning standards covered
111.41(b)(6)(D)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeverify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems; and
Open Global Standard:OGM.11.GEO.4
111.41(b)(1)(G)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradedisplay, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
Open Global Standard:OGM.11.GEO.1
OGM.11.GEO.4OGM.11.GEO.1