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

orientation
orientation

distance
distance

angle measure
angle measure

shape

Answer 1

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

1. **Distance** is not preserved during dilation. While translation preserves distances (all points move the same way), dilation changes the size of the figure. Consequently, the lengths of sides differ after dilation, meaning distances are not preserved overall.

2. **Angle measure** is preserved in both translations and dilations (angles remain the same).

3. **Shape** is preserved in the sense that the rectangles remain similar after dilation, but they may not be the same size.

4. **Orientation**: The orientation is generally preserved by translation, but can change if a dilation includes a negative scale factor (e.g., flipping the figure).

So, the property that is NOT preserved after this composition of transformations is **distance.**