Geometric Bites

In the workings below I demonstrate (using previous workings ) how to reflect a point off a line with an arbitrary slope . Part 1 Part 2 Part 3 Part 4 Part 5 Part 6 If you'd like evidence that these workings are correct, just visit the Desmos graph:  https://www.desmos.com/calculator/tpb3zsca3a

In these workings I demonstrate how to find the intersection of two lines perpendicular to each other, whereby one line passes through a random point (a, b). The answers are left in their abstract form. Part 1 Part 2 Part 3 Part 4 Part 5 Here is a free Desmos graph that can be played around with:  https://www.desmos.com/calculator/7bmvuhqr3n