In similarity transformations, several key properties of geometric figures are maintained. Let's review each option provided to determine whether it is preserved during similarity transformations:
1. Orientation: Yes, the orientation of the figure is preserved. Similarity transformations include operations such as scaling (enlarging or reducing), rotating, and translating (shifting positions), none of which alter the orientation of the figure.
2. Side length: No, the side length is not preserved. In similarity transformations, the figures maintain their shape but not necessarily their size. During scaling, side lengths are proportionally increased or decreased.
3. Angle measure: Yes, the angle measures are preserved. Similarity transformations do not alter the angles within the figure. Therefore, the corresponding angles of the original and the transformed figures are congruent.
4. Overall size: No, the overall size is not preserved. As mentioned with side length, scaling changes the size of the figure. Therefore, overall size is not a characteristic that remains constant during similarity transformations.
In summary, the elements that must be preserved in similarity transformations are:
- Orientation
- Angle measure
Given these observations, we can conclude that the elements preserved during similarity transformations are orientation and angle measure.
