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

Respuesta :

Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.

What is a syllogism?

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.

If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.

Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.

Hence option A is correct.

To learn more about the syllogism refer;

https://brainly.com/question/21635821

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