Writing Conditional
Identify the hypothesis
If it is a line then it contains at least 2 points
It is a line
Give a counterexample:
If x squared = 9, then x = -3.
x=3
Write the converse:
If there is snow on the ground, flowers are not in bloom.
What is "If flowers are not in bloom, then there is snowon the ground."
What is the part of conditional following the "then"?
Conclusion
What is the capital of Massachusetts?
Boston
Write as a conditional: Puppies are small.
What is "If it is a puppy, then it is small"
Give a counterexample
If it is a flag, then it contains the color blue.
Example answers: Canada, Japan, Jamaica
Write the inverse:
If x is odd, then 3x is odd.
If x is not odd, then 3x is not odd
Which conditional is represented by
~p -> ~q
Inverse
Who created the Pythagorean Theorem?
Pythagoras
Identify the conclusion:
If it is a plane then it contains 3 collinear points
It contains 3 collinear points.
Write the inverse:
If you have your license then you can drive a car.
If you don't have your license then you can't drive a car.
If a polygon has three sides then it is a triangle
If it is a triangle then a polygon has three sides
Something that proves a conditional is false
counterexample
Frotagbenquerelius IV is what kind of animal?
Capybara
Write as a conditional: Tenth graders are in Geometry.
If you are a tenth grader, then you are in Geometry.
Which type of conditional is represented by the notation: q -> p
converse
Write the contrapositive:
If a point lies on 2 lines, then it is at the intersection.
If it is not an intersection then a point does not lie on 2 lines
contrapositive
This geometric figure contains one endpoint and extends infinitely in the opposite direction
A Ray
Identify the hypothesis and conclusion:
If you pass your classes then you will get credits.
H: You pass your classes
C: You will get credits
Which type of conditional does NOT contain If and then?
What phrase is used instead?
Biconditional
If and only if
What conditional would have the following inverse:
If you do not love Barney, then you do not like purple.
If you love Barney, then you like purple.
A biconditional is formed by combining which TWO types of statements?
Conditional Statement AND Converse
Where is the largest contemporary art museum in the United States located?
North Adams (Mass Moca)