In the dilation, G and G', F and F', and H and H' fall collinearly, showcasing the preservation of parallelism and proportionality during the transformation, a characteristic feature of dilations.
In the given dilation where the smaller triangle GHF is inside a larger triangle G'H'F', it's evident that G and G', F and F', and H and H' fall collinearly.
This collinearity is a characteristic feature of dilations, emphasizing the preservation of parallelism and proportionality during the transformation.
Each corresponding point and its image lie on a straight line that passes through the center of dilation. This geometric property reinforces the notion that dilations scale shapes while maintaining the alignment of points along common lines, providing a visual representation of the proportional relationships between the corresponding elements of the two triangles.