2.1 Conditionals
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Kimberly Brightmore
Used 20+ times
FREE Resource
8 Slides • 16 Questions
1
2.1 Conditionals
Geometry CP
2
Let's Review Hypothesis & Conclusion
Hypothesis: the part that follows IF
Conclusion: the part that follows the THEN
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Example:
If it is Friday, then the recycling is picked up.
Hypothesis: it is Friday
Conclusion: the recycling is picked up.
4
Multiple Choice
If a number is divisible by 2, then the number is even.
What is the conclusion?
a number is divisible by 2
the number is even
5
Multiple Choice
If a number is divisible by 2, then the number is even.
What is the hypothesis?
a number is divisible by 2
the number is even
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Fill in the Blanks
What is the hypothesis of the following statement? Type your answer carefully! No capital letters or punctuation!
If the tree has a shadow, then it is sunny outside.
Type answer...
7
Fill in the Blanks
What is the conclusion of the following statement? Type your answer carefully! No capital letters or punctuation!
If my tooth hurts, then it may have a cavity.
Type answer...
8
Let's Review Counterexamples...
A conditional may or may not be true.
To show FALSE, find a counterexample.
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If an animal has stripes, then it is a tiger.
THINK: it "must be" a tiger
FALSE
Counterexample: Zebra, Clown Fish
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If it is a whale, then it is a mammal.
THINK: it "has to be" a mammal
TRUE
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Multiple Choice
Decide if the statement is true or false.
If the country is in Europe, then it is France.
True
False
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Multiple Choice
Decide if the statement is true or false.
If you are in Hawaii, then you are on an island.
True
False
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Multiple Choice
Decide if the statement is true or false.
If the plant has leaves, then it is a tree.
True
False
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Let's review altering conditionals...
Converse - SWITCH hyp. & conc.
Inverse - NEGATE hyp. & conc.
Contrapositive - SWITCH & NEGATE hyp. & conc.
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Conditional: If the animal barks, then it is a seal.
Converse: If it is a seal, then the animal barks.
Inverse: If the animal does not bark, then it is not a seal.
Contrapositive: If it is not a seal, then the animal does not bark.
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Multiple Choice
Choose the CONVERSE of the statement:
If the animal is a cat, then it meows.
If the animal is not a cat, then it does not meow.
If it does not meow, then the animal is not a cat
If it meows, then the animal is a cat.
The animal is a cat iff it meows.
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Multiple Choice
Choose the INVERSE of the statement:
If the animal is a cat, then it meows.
If the animal is not a cat, then it does not meow.
If it does not meow, then the animal is not a cat
If it meows, then the animal is a cat.
The animal is a cat iff it meows.
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Multiple Choice
Choose the CONTRAPOSITIVE of the statement:
If the animal is a cat, then it meows.
If the animal is not a cat, then it does not meow.
If it does not meow, then the animal is not a cat
If it meows, then the animal is a cat.
The animal is a cat iff it meows.
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Fill in the Blanks
WRITE the CONVERSE of the statement:
If it is cloudy, then it will rain.
Type answer...
20
Fill in the Blanks
WRITE the INVERSE of the statement:
If it is cloudy, then it will rain.
Type answer...
21
Fill in the Blanks
WRITE the CONTRAPOSITIVE of the statement:
If it is cloudy, then it will rain.
Type answer...
22
Fill in the Blanks
WRITE the CONVERSE of the statement:
If a figure is a rectangle, then it has exactly 4 sides.
Type answer...
23
Fill in the Blanks
WRITE the INVERSE of the statement:
If a figure is a rectangle, then it has exactly 4 sides.
Type answer...
24
Fill in the Blanks
WRITE the CONTRAPOSITIVE of the statement:
If a figure is a rectangle, then it has exactly 4 sides.
Type answer...
2.1 Conditionals
Geometry CP
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