SOLUTION: Which statement is true about this argument? Premises: If a quadrilateral is a square, then the quadrilateral is a rectangle. If a quadrilateral is a rectangle, then the qua

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Question 1064014:
Which statement is true about this argument?
Premises:
If a quadrilateral is a square, then the quadrilateral is a rectangle.
If a quadrilateral is a rectangle, then the quadrilateral is a parallelogram.
Conclusion:
If a quadrilateral is a square, then the quadrilateral is a parallelogram.

A.) The argument is valid by the law of syllogism.
B.) The argument is not valid because the premises are not true.
C.) The argument is valid by the law of detachment.
D.) The argument is not valid because the conclusion does not follow from the premises.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The argument is valid. I'll leave it to you to decide why.

Law of Syllogism: If both (if p, then q) and (if q, then r) are true, then (if p, then r) is true.

Law of Detachment: If both (if p, then q) and p are true, then q is true.

John

My calculator said it, I believe it, that settles it