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1.Which statement is true about this argument?

Premises:
If two lines are parallel, then the lines do not intersect.
Lines m and n do not intersect.

Conclusion:
Lines m and n are parallel.

Which statement is true about the argument?

The argument is not valid because the premises are not true.

The argument is valid by the law of syllogism.

The argument is valid by the law of detachment.

The argument is not valid because the conclusion does not follow from the premises.


2.Which statement is true about this argument?

Premises:
If a quadrilateral is a square, then the quadrilateral has four right angles.
Quadrilateral JKLM has four right angles.

Conclusion:
Quadrilateral JKLM is a square.



The argument is not valid because the premises are not true.

The argument is valid by the law of detachment.

The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of syllogism.

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Handsome22

The argument is valid by the law of detachment.

The statements that are true about the arguments in the question are;

1) Option C; Law of detachment

2) Option B; Law of detachment

1) We are given the premise that;

If two lines are parallel, then the lines do not intersect.

This premise is true because we know from parallel and perpendicular lines property that parallel lines never intersect each other.

With that premise, we are now given a conclusion that; Lines m and n do not intersect.

This kind of condition is known as law of detachment which states that;

If x is true, then y is also true.

Thus, Option C is correct

2) We are given the premise that;

If a quadrilateral is a square, then the quadrilateral has four right angles.

The given premise is true because from the definition of a square, all sides must be equal and all angles must be right angles.

We are now given the conclusion that;

Quadrilateral JKLM has four right angles.

This conclusion is valid because it follows the given premise.

Again like in 1 above, this follows the law of detachment.

Option B is correct

Read more at;  https://brainly.com/question/11132358

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