If two circle have the same diameter, then they have the same circumference.

Write the converse, inverse and contrapositive statement for the sentence.

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.