use law of syllogism to determine conclusion from statements

tamiatha

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Apr 26, 2009
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use the law of syllogism to determine a conclusion from ststements 1 and 2
statement 1:all squares are rhombuses
statement 2:the diagonals of a rhombus are perpendicular

here is what i have come up with so far:
well my keyboard does not have aome of the symbols i need to give you what i wrote so far

a square ias a parallelogram with 4 congruent sides and 4 right angles, so all rhombuses are squares

that is my answer but it sounds silly-like i'm just repeating the problem
 
tamiatha said:
use the law of syllogism to determine a conclusion from ststements 1 and 2
statement 1:all squares are rhombuses
statement 2:the diagonals of a rhombus are perpendicular

here is what i have come up with so far:
well my keyboard does not have aome of the symbols i need to give you what i wrote so far

a square ias a parallelogram with 4 congruent sides and 4 right angles, so all rhombuses are squares

that is my answer but it sounds silly-like i'm just repeating the problem

Have you reviewed the Law of Syllogism?

If p, then q.
If q, then r.

Therefore, if p, then r.

Here's an example:

If it rains, then the picnic will be canceled.
If the picnic is cancelled, then many people will be unhappy.

Therefore, if it rains, then many people will be unhappy.

Now...let's look at your problem:

All squares are rhombuses. This is equivalent to "If a figure is a square, then that figure is a rhombus."
The diagonals of a rhombus are perpendicular. This is equivalent to "If a figure is a rhombus, then its diagonals are perpendicular"

So...you've got

If a figure is a square, then that figure is a rhombus.
If a figure is a rhombus, then its diagonals are perpendicular.

Apply the Law of Syllogism to complete the "therefore,......" part.
 
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