Question

select whether the statement below is the converse, inverse, or contrapositive of the following statement: if a parallelogram is a rectangle, then its angles are all congruent. if the angles of a parallelogram are all congruent, then it is a rectangle. after you pick your answer press go. a. converse b. inverse c. contrapositive

Explanation:

Let the original statement be "If \(p\) (a parallelogram is a rectangle), then \(q\) (its angles are all congruent)". The given statement is "If \(q\) (the angles of a parallelogram are all congruent), then \(p\) (it is a rectangle)". By the definition of converse (\(p
ightarrow q\) has converse \(q
ightarrow p\)), inverse (\(p
ightarrow q\) has inverse \(
eg p
ightarrow
eg q\)), and contrapositive (\(p
ightarrow q\) has contrapositive \(
eg q
ightarrow
eg p\)), we can see that the given statement is the converse.

Answer:

A. converse