Exploring Dilations by Jillian Folino

This example demonstrates the application of dilation in triangles by dragging points A and B to observe the changes in point C and its image C'. Core mathematical concepts include dilation, geometric mean, orthocenter, and similarity transformation. The construction uses GeoGebra commands Segment (segment) and Dilate (dilation), with objects r (scale factor), A, B, f (point), C, A', B', f'. Suitable for high school students learning geometric transformations.