Answer:
1. true - dilating figures does not change their angle measure
2. true - dilating figures does not change the orientation, so AD would still be on a horizontal line parallel to its current position
Yes.
"Most" must be understand as more than half.
Then more than half of the managers enjoy mentoirng employees and more than half are people oriented, then some (at least one) managers both enjoy mentoring oriented and are people oriented. Which make true that some people-oriented individuals enjoy mentoring employees.