GEO-G.GPE.5.a
Explore the proof for the relationship between slopes of parallel and perpendicular lines;
Example Problems
Write the equation of a line that is parallel to and that passes through the point .
Write the equation of a line that is parallel to and that passes through the point .
What do the following two equations represent: parallel lines, perpendicular lines, or the same line?
Khan Academy ResourcesParallel & perpendicular lines from equationWrite equations of parallel & perpendicular linesClassify figures by coordinatesPoints inside/outside/on a circleParallel & perpendicular lines from graphParallel lines from equationParallel lines from equation (example 2)Parallel lines from equation (example 3)Perpendicular lines from equationWriting equations of perpendicular linesProof: perpendicular lines have opposite reciprocal slopesParallel & perpendicular lines from graphPoints inside/outside/on a circleClassifying quadrilaterals on the coordinate planeClassifying figures with coordinatesChallenge problem: Points on two circlesProof: parallel lines have the same slopeWriting equations of perpendicular lines (example 2)

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