Question

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

distance
distance

angle measure
angle measure

shape
shape

orientation

Answer 1

In the composition of a translation followed by a dilation, the following properties are preserved:

1. **Distance**: Only distances from the center of dilation are altered after dilation, but overall distances between points are not preserved.
2. **Angle measure**: Angles remain the same.
3. **Shape**: The shape of the rectangle is preserved, but its size may change due to dilation.
4. **Orientation**: Orientation can be preserved or not depending on the center of dilation; if the dilation center is inside the figure, the orientation remains the same, but if it is outside, the orientation may change.

Therefore, the property that is **not preserved** after the composition of these transformations is **orientation**.