Answer:
Converse: If the circumference of the two circle is same then they have same diameter.
Inverse: If two circle do not have same diameter then they do not have same circumference.
Contrapositive: If two circle do not have same circumference then they do not have same diameter.
Step-by-step explanation:
Let the statement's be,
p : Two circles have same diameter.
q : Two circles have same circumference.
The given statement is a conditional statement logically is given as
p → q
It means p implies q, that is if p then q
where p is called antecedent or hypothesis and
q is called consequent or conclusion.
The converse of this statement logically is given as
q → p
It means q implies p, that is If q then p.
Converse: If the circumference of the two circle is same then they have same diameter.
The Inverse of this statement logically is given as
~p → ~q
It means negation p implies negation q, that is If not p then not q.
Inverse: If two circle do not have same diameter then they do not have same circumference.
The Contrapositive of this statement logically is given as
~q → ~p
It means negation q implies negation p, that is If not q then not p.
Contrapositive: If two circle do not have same circumference then they do not have same diameter.
