Reflection over x-axis, y-axis, y=x and y=-x by using associated matrices

In today’s lesson on Step-by-Step with Zoe, we explore reflections of a triangle using transformation matrices. Starting with triangle ABC where A(1, 2), B(3, 3), and C(2, 4), we apply matrix transformations to reflect the triangle over key lines in the coordinate plane. We also apply each matrix step-by-step to the coordinates of triangle ABC to find the images of the triangle after each reflection. This method shows how matrices provide a clear, efficient, and powerful way to perform geometric transformations. Perfect for high school and college students, this video strengthens understanding of coordinate geometry and introduces key concepts from linear algebra in a simple, visual way.