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 angle measure angle measure shape shape distance distance orientation

Answer 1

In the scenario described, a rectangle (ABC) undergoes a translation followed by a dilation. Let's evaluate the properties:

1. Angle measure: Preserved. Both translation and dilation do not change the measures of the angles in the rectangle.

2. Shape: Preserved. Dilation maintains the shape but changes the size. However, since we are discussing the geometric properties and the rectangle remains a rectangle (it is similar), the shape property remains consistent in terms of similarity.

3. Distance: Not preserved. Dilation changes distances proportionally (either increasing or decreasing), so distances between points will change.

4. Orientation: Preserved. Since translation does not change the orientation and dilation (assuming the center of dilation is fixed) does not invert or reflect the shape, the orientation will remain the same.

Based on this analysis, the property that is NOT preserved after the composition of transformations (translation followed by dilation) is distance.