What does deductive reasoning use to form its arguments?

How would you describe the Law of Detachment symbolically?

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If you passed the final, then you pass the class. You passed the final.

How would you describe the Law of Syllogism symbolically?

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If x < -2, the |x| > 2. If x > 2, then |x| > 2.

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.

Which law of logic is illustrated by these statements?

If you miss practice the day before a game, then you will not be a starting player in the game.

You miss practice on Tuesday. You will not start the game Wednesday.

Which law of logic is illustrated by the following statements?

If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.

If <1 and <2 are vertical angles, then m<1 = m<2.

If the school cafeteria sells pizza today, Greg is going to eat four pieces. Pizza is on sale for school lunch today.

Using deductive reasoning, what statement can you make based on this information?

What can you conclude from the given true statements?

If an animal is a dog, then they like biscuits.

Sammy is a dog.

What can you conclude from the given true statements?

If you live in Orlando, then you live in Florida.

You live in Orlando

What can you conclude from the following true statements.

If I study for one hour each day, then I will score well on the exam.

I score well on the exam.

What can you conclude from the following true statements?

If you do gymnastics, then you are flexible.

If you do ballet, then you are flexible.