Performing Geometric Translations on the Coordinate Plane

Miacademy & MiaPrep Learning Channel

This educational video provides a clear and practical guide to understanding and performing geometric translations on a coordinate plane. Narrated by Justin, the lesson begins by defining a translation as a transformation that slides a figure horizontally, vertically, or both, without changing its size or shape. It uses real-world examples like staircases, window arrangements, and patterned rugs to help students visualize the concept of 'shifting' objects in space. The core of the video focuses on two step-by-step examples of translating geometric figures on a coordinate grid. Students learn how to map vertices from a pre-image to an image by counting units, label new coordinates using prime notation (e.g., A'), and determine if the transformation is an isometry. The video also introduces the concept of invariant points, clarifying why translations—unlike other transformations—do not have fixed points. For educators, this video serves as an excellent instructional tool for Middle School or High School Geometry units on Rigid Transformations. It encourages active participation by prompting students to pause and solve problems independently before revealing the answers. The content bridges abstract mathematical concepts with tangible visual examples, making it ideal for introducing the topic or reviewing coordinate geometry mechanics.