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

orientation
orientation

shape
shape

angle measure

Answer 1

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

1. **Distance**: This property is not preserved. While translation maintains distances, dilation changes the sizes of distances (scales them).

2. **Orientation**: This property is preserved after a translation but not preserved after a dilation if the scale factor is negative. However, with a positive scale factor, the orientation remains the same.

3. **Shape**: This property is preserved, since dilation maintains the shape of the figures (scales them up or down without changing their proportions).

4. **Angle Measure**: This property is preserved, as both translation and dilation do not affect angle measures.

Given the options, the property that is not preserved after the composition of translation followed by dilation is **distance**.