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- 1. Multiple Choice
Proof involving indirect reasoning. Also called proof by contradiction
Direct reasoning
Indirect reasoning
Direct proof
Indirect Proof
- 2. Multiple ChoiceThe first step of an indirect proof is to ____?write the givenassume the negation of the givenassume the negation of what you are trying to provecontradict the given
- 3. Multiple Choice
The second step of an indirect proof is to ____?
assume the negation of the given
assume the negation of what you are trying to prove
conclude the prove is true
contradict the given using logical statements based on the initial assumption
- 4. Multiple ChoiceWhat assumption would you make to start the indirect proof of ∆ABC≅∆DEF?∆ABC≠∆DEF∆ABC≇∆DEF<ABC≠<DEFAB≅DE
- 5. Multiple ChoiceWhat assumption would you make to start the indirect proof of AB≅BC?AB≠BCBA≅CBB is the midpoint of ACB is the perpendicular bisector oa AC
- 6. Multiple ChoiceWhat assumption would you make to start the indirect proof of:
there can be only one 90 angle in a trianglethere can be more than one 90 angle in a triangle<a+<b+<c=180<a+<b+<c≠180all the angles in a triangle add up to 180. - 7. Multiple ChoiceWhich statement is a contradiction of the statement XY≅RT?XY<RTTR≅YXXY≈RTXY≤RT
- 8. Multiple ChoiceWhat assumption would you make to start the indirect proof of if 3x+7>13, then x>2?x≤2x<2x>2x=2
- 9. Multiple Choice
A way to reach a conclusion using reasoning:
Proof
hypothesis
counterexample
- 10. Multiple Choice
A proof that can be used when there are only two possibilities; if one possibility is false, the other must be true.
direct proof
indirect proof
conclusion
- 11. Multiple Choice
An example that shows a statement is false:
hypothesis
conclusion
counterexample
- 12. Multiple ChoiceIf ∠A ≅ ∠B, then we know m∠A = m∠B because...GivenDefinition of CongruentCongruent means equalTransitive Property
- 13. Multiple Choice
Which TWO statements below are contradictory for triangle ABC.
<B = <C
AB = BC
< B = 90o
- 14. Multiple Choice
Which TWO statements below contradict each other.
Quadrilateral is a square.
Quadrilateral has four equal sides.
Quadrilateral has no right angles.
- 15. Multiple Choice
Which TWO statements below contradict each other.
a ∥ b
b ⊥ a
a ∥ c
- Answer choicesTagsAnswer choicesTags