Properties of Dilating Line Segments

This example demonstrates the geometric properties of line segment dilation (similarity transformation). When segment AB is dilated about a fixed center point, observe how the position relationship, length ratio, and geometric properties change before and after dilation. Key mathematical concepts include similarity transformation, scale factor, center of dilation, and segment length ratio. Construction: Use Segment command to create base segment AB, apply Dilate command with different scale factors k about a specified center to construct dilated segment A'B', and quantitatively analyze the length relationship by calculating CoDvalue, ABvalue, A'B'value and other data. Suitable for middle and high school mathematics teaching on similarity, homothetic transformation, and proportional segments, also serves as preparation for understanding limiting states of conic sections.