Final answer:
Colonial governors possessed veto power over legislation, which is true, while Dillon's Rule actually limits local government's authority, making the statement about it granting freedom and flexibility false.
Step-by-step explanation:
Understanding Colonial Governance and Local Government Authority
The statement regarding colonial governors having the right to veto legislation is true. Colonial governors were appointed by the crown and held significant power over colonial assemblies, including the ability to veto legislation they found unfavorable.
In contrast, the statement about Dillon's Rule is false. Dillon's Rule is a legal principle that states local governments can only exercise powers expressly granted to them by the state government. This rule limits the local government's flexibility in making decisions, as they do not possess inherent sovereignty.
The initial question about a head coach designating a representative for making penalty decisions is not directly related to the topics of colonial governance or Dillon’s Rule.