Visualizing Types of Geometric Transformations: Translation, Rotation, Reflectio

This example demonstrates how a geometric figure changes under different transformation types and compares the “before vs. after” positions through explicit point correspondences. The key mathematical ideas are geometric transformations (e.g., translation, rotation, reflection), the concept of an image point under a transformation, and the invariance properties typically discussed in transformation geometry (such as preserved distances/angles depending on the transformation). Construction is driven by the defined point objects A and B (from the construction summary), which are transformed to obtain their corresponding images; the resulting configuration supports clear visualization of mapping relationships in a single coordinate plane. It is well suited for middle school to early high school geometry lessons and for classroom or self-guided study focused on developing intuition about transformations using GeoGebra.