Given the following statements, what conclusion can be drawn using the law of syllogism?If the area of a square is an odd perfect square, then the side length of the square will be odd. If the side length of the square is odd, then the perimeter of the square will be even.
Answer
A
If the perimeter of a square is even, its side length must be odd.
B
If the perimeter of a square is even, the area of the square will be an odd perfect square.
C
If the area of a square is an odd perfect square, the perimeter of the square will be even.
D
No conclusion can be reached based on the law of syllogism.
Explanation
The law of syllogism combines two conditional statements when the conclusion of the first matches the condition of the second. Here, an odd perfect square area implies an odd side length, and an odd side length implies an even perimeter. Therefore, an odd perfect square area implies an even perimeter, which is choice C.
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