Do Dilations Produce Congruent Images?

This interactive GeoGebra example lets users drag a slider to observe how a dilation transforms a picture about a fixed center. The core mathematical concepts include plane geometric transformations, scale factors, similarity, and the distinction between congruent and similar figures. Construction highlights: the example uses the GeoGebra Dilate command on objects pic1, points A, B, C, a scale factor slider, and a center point Center, producing the dilated image pic1′ that updates in real time. It is suitable for middle school and high school geometry classrooms, supporting inquiry-based learning about dilation, invariants under transformation, and the conditions for congruence versus similarity.