Question

Rectangle ABCD with four 90°angles, undergoes and translation followed by a dilation. Which of the following properties are NOT preserved after this composition transformation?(1 point)
Responses

shape
shape

angle measure
angle measure

orientation
orientation

distance

Answer 1

In the composition transformation of a rectangle (or any geometric figure) that involves a translation followed by a dilation, the following properties are preserved:

1. **Shape** - The shape of the rectangle remains the same.
2. **Angle measure** - The angle measures remain the same (the angles remain 90°).
3. **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**.