Geometry

Using the Law of Syllogism

1. Using the Law of Syllogism create (write) as many new conditionals as possible using the following conditional (true) statements.

• (If a dog is a gazehound, then it hunts by sight.)

If it hunts by sight, then it is a gazehound
If it is not a gazehound, then it does not hunt by sight.
If it does not hunt by sight, then it is not a gazehound.

• (If a dog is a coonhound, then it bays when it hunts.)

If it bays when it hunts, then it is a coonhound.
If it is not a coonhound, then it does not bay while it hunts.
If it does not bay while it hunts, then it is not a coonhound.

• (If a dog is a foxhound, then it does not hunt primarily by sight.)

If a dog is not a foxhound, then it does hunt primarily by sight
If it hunts primarily by sight, then it is not a foxhound
If does not hunt primarily by sight, then it is foxhound

• (If a dog is a greyhound, then it is a gazehound.)

If a dog is a gazehound, then it is a greyhound.
If a dog is not a gazehound, then it is not a greyhound.
If it is not a greyhound, then it is not a gazehound

• (If a hound bays, then it is a scent hound.)

If it is a scent hound, then the hound bays.
If a hound does not bay, then it is not a scent hound.
If it is not a scent hound, then it does not bay

2. Write an example of when you have (or how you will) use inductive reasoning.

3. Write an example of when you have (or how you will) use deductive reasoning

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  1. How is this geometry?

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