True or False Conclusion?

[odeaver]

Assume the following conditionals are true.

A) What conclusion can you make, if any? B) Which law of logic are you using? Law of Syllogism, Law of Detachment or Law of Contrapositive.

If two angles are vertical angles, then they are congruent.

Two angles are not congruent.

 

[Dr.Peterson]

Assume the following conditionals are true.

A) What conclusion can you make, if any? B) Which law of logic are you using? Law of Syllogism, Law of Detachment or Law of Contrapositive.

If two angles are vertical angles, then they are congruent.

Two angles are not congruent.

Please tell us what thoughts you have about this exercise, so we can see where you need help.

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You might start just by using common sense, and then compare your answer to what you learned about these three laws. If two angles are not congruent, what can you conclude about their being vertical angles?

 

[HallsofIvy]

If "A implies B" then "not B implies not A".