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Understanding Conditional Statements (Grade 10)

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Understanding Conditional Statements

1. 
An if - then statement is a conditional statement. Every conditional has two parts. The part following the "if" is the hypothesis and the part following the "then" is the conclusion.
  1. True
  2. False
2. 
A                                                        is defined to be true whenever both parts have the same truth value.
3. 
Rewrite the following statement in if-then form. Then, identify the hypothesis and the conclusion.

"Numbers that have 2 as a factor are even."





4. 
Rewrite the following statement in if-then form. Then, identify the hypothesis and the conclusion.

"An isosceles triangle has two congruent sides."






5. 
Which of the following is a conditional statement?
  1. Amy plays soccer or Bills plays hockey.
  2. Bill plays hockey when Amy plays soccer.
  3. If Amy plays soccer, then Bill plays hockey.
  4. None of the above
6. 
A                 has something else that depends on it or a requirement to make it true.
  1. condition
  2. conditional
  3. hypothesis
  4. conclusion
7. 
Inverse is when you                  the conditional statement.
  1. Discuss
  2. Switch
  3. Negate
  4. Switch and Negate
8. 
A negation is
  1. a compound statement formed by joining two or more statements using the word "and".
  2. a compound statement formed by joining two or more statements using the word "or".
  3. a statement that has the opposite meaning and truth value of an original statement.
  4. the result of a truth table.
9. 
When you switch and negate a statement it is called the                      .
  1. Conditional Statement
  2. Negation
  3. Converse
  4. Contrapositive
10. 
The                     is when you switch the hypothesis and conclusion of a conditional statement.
  1. converse
  2. inverse
  3. half contrapositive
  4. opposite
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