lesson
Proving Equidistance Using Coordinate Geometry
Use the distance formula to verify equidistance between endpoints and points on a perpendicular bisector.
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Proofs and Applications of Geometric Relationships
6 lessons
Goal
Prove equidistance properties using perpendicular bisectors and coordinate geometry, and apply angle relationships to solve real-world and complex problems with clear communication.
6 lessons
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Learning standards covered
111.41(b)(6)(A)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeverify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems;
Open Global Standard:OGM.11.GEO.4
111.41(b)(1)(D)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradecommunicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
Open Global Standard:OGM.11.GEO.1
OGM.11.GEO.4OGM.11.GEO.1