Dilation of a Triangle Along a Line

This example demonstrates how to perform a dilation (homothety) of a triangle along a given line, showing the relationship between the original and transformed figures. The core mathematical concept is dilation, which scales a shape by a factor from a center point while preserving its shape. Construction steps include using Line and Point to define the base line and key points, OrthogonalLine and Intersect to create perpendiculars and intersections, Polygon to draw the original triangle, and Vector, Dilate, and Translate commands to apply the scaling and translation. Suitable for upper middle school or high school students, this example helps learners understand the properties of dilation, the roles of center and scale factor, and the use of transformation tools in dynamic geometry software.