lesson
Proving Slope Criteria for Perpendicular Lines
Prove that two non-vertical lines are perpendicular if and only if their slopes are negative reciprocals.
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Slope Criteria for Parallel and Perpendicular Lines
5 lessons
Goal
Use slope to verify parallelism and perpendicularity, prove slope criteria for parallel and perpendicular lines, and derive the midpoint formula using coordinates.
5 lessons
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- Verifying Parallelism Using SlopeUp next
- Verifying Perpendicularity Using SlopeNot started yet
- Proving Slope Criteria for Parallel LinesNot started yet
- Proving Slope Criteria for Perpendicular LinesYou are here
- Proving the Midpoint Formula Using CoordinatesNot started yet
Learning standards covered
111.41(b)(2)(B)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradederive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines; and
Open Global Standard:OGM.11.GEO.6
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.6OGM.11.GEO.1