Question

a: if a quadrilateral is a rectangle, then it has two pairs of parallel sides. b: if a quadrilateral has two pairs of parallel sides, then it is a rectangle. which statement is true? o statement b is the inverse of statement a. o statement b is the converse of statement a. o statement b is the contrapositive of statement a. o statement b and a are the same statements.

Explanation:

Let statement A be "If a quadrilateral is a rectangle, then it has two pairs of parallel sides". The converse of a conditional statement "If p, then q" is "If q, then p". The inverse is "If not p, then not q" and the contra - positive is "If not q, then not p". Statement B "If a quadrilateral has two pairs of parallel sides, then it is a rectangle" is the converse of statement A.

Answer:

C. Statement B is the converse of statement A.