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ROTATION: Find 90°, 180°, 270° Rotations Using the Perpendicular Slope Method

1.4K views· 34 likes· 5:41· Jan 8, 2026

In this geometry lesson, you will learn exactly how to rotate a point about a center of rotation that is NOT the origin using a simple, graphical slope method. This technique allows you to quickly find the image of a point rotated 90 degrees, 180 degrees, 270 degrees, and 360 degrees without memorizing complicated coordinate rules. We walk through the process step-by-step with two full examples, focusing on how to use the original slope and the perpendicular slope (opposite reciprocal) to find the new coordinates. What You Will Learn: How to plot the center of rotation and the original point. The connection between slope and perpendicular lines A crucial tip on avoiding reduction of the slope fraction (e.g., leaving it as 2/4). Check out this video for an alternative method on how to rotate without using a graph! #rotation #geometry #math #mathlesson #transformation #centerofrotation #90degrees #180degrees #270degrees #geometrictransformation #graphingrotations ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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