Answer:Let's evaluate each statement one by one:
1. AB = A'B':
When a figure is rotated 90° clockwise, the lengths of its sides remain the same. Therefore, AB and A'B' will have the same length if the quadrilateral is rotated without any other transformations. So, the statement AB = A'B' is true.
2. If AC || BD, then A'C' || B'D':
If AC is parallel to BD, then when the quadrilateral is rotated, the corresponding sides A'C' and B'D' will also be parallel. Rotating a figure does not change the parallelism between lines. Therefore, the statement A'C' || B'D' is true.
3. ∠ABC:
When a figure is rotated, the angles change. If ABC is the original angle, rotating the figure 90° clockwise will result in a new angle, let's call it ∠ABC'. The measure of ∠ABC' will be different from the measure of ∠ABC. Therefore, the statement "m∠ABC" is incomplete and cannot be determined without further information.
To summarize:
- AB = A'B' (True)
- If AC || BD, then A'C' || B'D' (True)
- m∠ABC (Incomplete/Indeterminate)
Please note that the information provided is based on the assumption that the quadrilateral is rotated without any other transformations, such as scaling or skewing.
Explanation: