Question 161595: I have a worksheet and no book and am lost. Please help.
It states: Use the Law of Syllogism to determine a conclusion from statements (1) and (2).
(1) ALL SQUARES ARE RHOMBUSES.
(2) THE DIAGONALS OF A RHOMBUS ARE PERPENDICULAR.
I must show my work. Please help me.
Thanks
Answer by ilana(307)   (Show Source):
You can put this solution on YOUR website! The Law of Syllogism says that if p implies q, and q implies r, then p implies r. So if I say "All boys are kids" and "All kids are silly", the Law of Syllogism says that you can conclude that "All boys are silly." Logically this makes sense because if you have a boy, the first statement says that he is a kid, so anything that's true about kids must be true about him.
So in your problem, the first statement basically says, "If a figure is a square, then it is a rhombus." And the second says, "If a figure is a rhombus, then it has perpendicular diagonals." So the Law of Syllogism lets you conclude that "If a figure is a square, then it has perpendicular diagonals." You can also re-word this as "All squares have perpendicular diagonals," or "The diagonals of a square are perpendicular." I would think changing these into If-then statements as I did above should be sufficient for "showing your work," since those statements make the use of the Law of Syllogism more clear. Best of luck!!
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