In the composition transformation of a rectangle (or any geometric figure) that involves a translation followed by a dilation, the following properties are preserved:
- Shape - The shape of the rectangle remains the same.
- Angle measure - The angle measures remain the same (the angles remain 90°).
- Distance - Although the distances (lengths of sides) may change due to dilation, the relative ratios of the sides are preserved.
The property that is NOT preserved after this composition transformation is:
- Orientation - Dilation can change the orientation of the figure if it includes a reflection or scaling involving a negative factor, so orientation can potentially be altered when a transformation is applied.
In conclusion, the property that is NOT preserved after the composition of a translation followed by a dilation is orientation.