Short Answer 
Dilation is a transformation that increases the size of a figure while preserving its shape, with a scale factor of 1.25 indicating the new figure will be 1.25 times larger. Dilation results in similar, but not congruent figures, as they have the same shape but different sizes, maintaining proportional corresponding sides.
Step 1: Understanding Dilation
Dilation is a transformation that alters the size of a figure while preserving its shape. When a figure is dilated by a scale factor, every point of the figure moves away from or towards a fixed center point. In this case, the scale factor is 1.25, indicating that the new figure will be 1.25 times the size of the original.
Step 2: Recognizing Similarity vs. Congruence
Figures that undergo dilation are classified as similar but not congruent. Similar figures have the same shape but differ in size, whereas congruent figures are identical in both shape and size. Since the scale factor changes the size, the two figures will not have the same dimensions, making them similar, but not congruent.
Step 3: Proportional Corresponding Sides
Even though the sizes of the figures differ, their corresponding sides remain proportional. This means that if you take the ratio of corresponding sides from the original figure to the dilated figure, it will equal the scale factor. In this case, the proportionality of sides confirms that the shapes exhibit similarity, ensuring they maintain corresponding angles and side ratios.