lesson
Proof by Contradiction in Geometry
Write an indirect proof (proof by contradiction) for a geometric statement about triangle congruence or angle relationships.
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Advanced Congruence Applications and Proof Strategies
9 lessons
Goal
Apply triangle congruence to coordinate geometry and real-world contexts, analyze common proof errors, and explore advanced proof methods like contradiction.
9 lessons
0 of 9 done
- Distinguishing Between Congruence and SimilarityUp next
- Using Coordinates to Prove Triangle CongruenceNot started yet
- Congruence in Real-World ApplicationsNot started yet
- Creating Congruence Proofs from Word ProblemsNot started yet
- Common Errors in Congruence ProofsNot started yet
- Selecting Appropriate Proof Methods for CongruenceNot started yet
- Connecting Transformations to CongruenceNot started yet
- Coordinate Proofs Using Triangle CongruenceNot started yet
- Proof by Contradiction in GeometryYou are here
Learning standards covered
111.41(b)(6)(B)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeprove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;
Open Global Standard:OGM.11.GEO.3
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.3OGM.11.GEO.1