Learn all about equations of parallel and perpendicularĬhallenge: Distance between a point and a lineĪn optional tutorial where you'll figure out the minimum distance from a point to a given line. Parallel and Perpendicular Lines Parallel-Perpendicular (Khan Academy) Parallel-Perpendicular Equations (Khan Academy) Coordinate-Plane Proofs (Khan Academy). In this tutorial, you will learn how these relationships are expressed on the coordinate plane (spoiler: parallel lines have the same slope, and the product of the slopes of perpendicular lines is always -1).Įquations of parallel and perpendicular lines You probably know what parallel and perpendicular lines are. Parallel and perpendicular lines on the coordinate plane Use what you know about distance to solve problems on the coordinate plan like finding the perimeter of a shape or determining if a point is on a circle.
Problem solving with distance on the coordinate plane
Think about ratios of lengths of segments between points. For example, we can see that opposite sides of a parallelogram are parallel by by writing a linear equation for each side and seeing that the slopes are the same.įind the distance between two points or the midpoint of two points. In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane. Recognizing points on a circle Analytic geometry Geometry Khan Academy Khan Academy 7.78M subscribers Subscribe 92K views 9 years ago Analytic geometry Geometry Khan. For more information, visit, join us on Facebook or follow us on Twitter at And remember, you can learn anything.A 17-course Topic series from Khan Academy.
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