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

Algebra.Com
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)   (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


RELATED QUESTIONS

Which statement is true about this argument? Premises: If a quadrilateral is a... (answered by math_helper)
True OR FALSE!!>>if all angles of quadrilateral are congruent then the quadrilateral is... (answered by oberobic)
This is a true/false question from my test. If two pairs of consecutive sides of a... (answered by scott8148)
If all four sides of a quadrilateral are congruent, then the quadrilateral is a... (answered by solver91311)
Hello there! This is a question I had on a test review worksheet, that i didn't quite... (answered by Alan3354,solver91311)
Are all squares parallelograms? Every quadrilateral is a parellelogram? If a... (answered by jim_thompson5910)
If the diagonals of a quadrilateral bisect one another at right angles, then the... (answered by MathLover1)
Determine whether each statement is true or false. If it is false, provide a... (answered by stanbon)
quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement... (answered by mananth)