1) Which statement is needed to complete this syllogism? If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then it’s diagonals are perpendicular. Therefore, if ________________________, then it’s diagonals are perpendicular.

A) a quadrilateral has 4 congruent sides

B) it is a rhombus

C) it is a rectangle

D) it has diagonals

Answer:Step-by-step explanation:Statement Ais needed tocompletethissyllogism. itsdiagonalsareperpendicular. Therefore, if athen its diagonals arequadrilateral has 4 congruent sidesperpendicular.## What is a syllogism?

logicalstructure for aformalargument thatincludesa major, minor, andconclusion.syllogismcannot beconcludedwithoutStatement A.Thediagonalsof it areparallel. As a result, a quadrilateral’sdiagonalsareperpendicularif it has fourcongruent sides.quadrilateralhas4 congruent sides, then it is arhombus. If it is a rhombus, then itsdiagonalsareperpendicular.then itsquadrilateral has 4 congruent sidesdiagonalsareperpendicular.option Ais correct.syllogismrefer;