Questions on Geometry: Proofs in Geometry answered by real tutors!

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Question 163653: Use the Law of Detachment or the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.
(1) ALL SQUARES ARE RECTANGLES.
(2) IF A QUADRILATERAL IS A RECTANGLE, THEN IT HAS CONGRUENT DIAGONALS.
I must show my work. I don't understand this. Please help.
Thanks: Use the Law of Detachment or the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.
(1) ALL SQUARES ARE RECTANGLES.
(2) IF A QUADRILATERAL IS A RECTANGLE, THEN IT HAS CONGRUENT DIAGONALS.
I must show my work. I don't understand this. Please help.
Thanks
Answer by Edwin McCravy(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Law of Detachment or the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.
(1) ALL SQUARES ARE RECTANGLES.
(2) IF A QUADRILATERAL IS A RECTANGLE, THEN IT HAS CONGRUENT DIAGONALS.
I must show my work. I don't understand this. Please help.
Thanks

(1) if IT'S A SQUARE, then IT'S A RECTANGLE.                   s->r
(2) if IT'S A RECTANGLE, then IT HAS CONGRUENT DIAGONALS.      r->c
                                                               ----
Therefore, if IT'S A SQUARE, then IT HAS CONGRUENT DIAGONALS.  s->c

That's a syllogism.  

Edwin