Rectangle ABCD

Question

, 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.