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Conditional Statements
Contributed by: Walker

If it is not a bird, then it does not have wings.

If it has wings, then it is a bird.

 

If it is a bird, then it has wings.

It is a bird if and only if it has wings.

Write as a conditonal statement:

"All birds have wings."

 

Which is a counter example for:

"If a number is divisible by 2,

 then it is divisible by 3."

 4

9

0

6

Write the converse: "If it is a fish then it has gills."

If it has gills, then it is a fish.

If it does not have gills, then it is not a fish.

If it is not a fish, then it does not have gills."

It is a fish if and only if it has gills.

What is inductive reasoning based on?

Logic

Patterns

Postulates

All of the above

It is a triangle if and only if it has 3 sides.

If it has 3 sides, then it is a triangle.

 

If it does not have 3 sides, then it is not a triangle.

If it is not a triangle, then it does not have 3 sides.

Write the contrapositive.

  "If a figure is a triangle, then it has 3 sides.

What is deductive reasoning based on?

Patterns

 Logic

Observations

All of the above

Is the converse of "If an angle measures120 degrees,

 then it is an obtuse angle" true of false?

 

True

 False
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