princessallycat princessallycat

Today at 9:04 PM
Mathematics

Answered

Which statement is true about this argument?

Premises:
If a parallelogram has a right angle, then it is a rectangle.
Parallelogram PQRS has a right angle.

Conclusion:
Parallelogram PQRS is a rectangle.

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

The argument is valid by the law of syllogism.

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

The argument is valid by the law of detachment.

Answer :

maciemillsouwcdi maciemillsouwcdi

Today at 9:09 PM

The argument is valid by the law of detachment.

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MsEHolt MsEHolt

Today at 9:09 PM

Answer:

The argument is valid by the law of detachment.

Step-by-step explanation:

We first verify that the first statement, "if p, then q" is correct. If a parallelogram has a right angle, this means that the angle opposite that angle must also be right; this is because the opposite angles of a parallelogram are congruent.

This also means that the adjacent angle to this right angle must also be right; this is because the adjacent angles in a parallelogram are supplementary.

Thus "if p, then q" is true.

The law of detachment states that if I have two statements, one of the form "if p, then q" and the other "p", then the conclusion, "q," is valid.

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