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

angle measure
angle measure

distance
distance

shape
shape

orientation

Answer 1

In the composition of a translation followed by a dilation, the following properties are preserved and not preserved:

1. Angle Measure: This property is preserved. Both translation and dilation do not change the measures of angles.

2. Distance: This property is not preserved. While translation does preserve distances, dilation changes distances by a scaling factor.

3. Shape: The shape of the rectangle is preserved through both transformations, as dilations maintain similarity (the same shape, but possibly different size).

4. Orientation: The orientation of the rectangle can change depending on the center of dilation. If the dilation is centered at a point outside the rectangle, it may flip the orientation.

Based on this, the properties not preserved after the composition transformation are:

• Distance (due to dilation)
• Orientation (can change depending on dilation's center)

Thus, the answer to the question is distance and orientation.