IM2 2.3 Hypothesis, conclusion

A conditional is a:

• "if then statement"
• statement that is always true
• biconditional statement

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Given the conditional statement, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

• I have a dog
• I have a Siberian Husky

Given the conditional statement, "If it is summer, then it is hot outside." Identify the hypothesis.

• It is summer
• It is hot outside

Given the conditional statement, "If I have a German Shepard, then I have a dog." Identify the conclusion.

• I have a dog
• I have a German Shepard

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends

Identify the given and the prove of the conditional statement:
If AB + XY = CD + XY, then AB = CD.

• Given: AB + XY = CD + XY  Prove: AB = CD
• Given: AB + XY + CD       Prove: ABCDXY
• Given: AB = CD                           Prove: AB + XY = CD + XY 
• Given: AB + XY = CD + XY  Prove: XY = XY

Identify the hypothesis and conclusion of the conditional statement:  If  ∠2 ≅ ∠3 and ∠3 ≅ ∠4, then ∠2 ≅ ∠4

• Hypothesis:  ∠2 ≅ ∠3 and ∠3 ≅ ∠4
  Conclusion:  ∠3 ≅ ∠4
• Hypothesis:  ∠2 ≅ ∠4 
  Conclusion:  ∠2 ≅ ∠3 and ∠3 ≅ ∠4
• Hypothesis:  ∠2 ≅ ∠3 and ∠3 ≅ ∠4
  Conclusion:  ∠2 ≅ ∠4
• Hypothesis:  ∠2 ≅ ∠3
  Conclusion:  ∠3 ≅ ∠4

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

• If you are late to school, then you will miss the bus.
• If you miss the bus, then you will be late to school
• If you sleep late, then you don't have to go to school.
• If you miss the bus, then you'll have to walk and be late.

What is the if-then-form of the following Conditional statement? "It is time for dinner if it is 6 pm."

• If it is 6pm, then it is time for dinner.
• If it is time for dinner, then it is 6pm.
• If you want to eat dinner, then you must eat at 6pm.
• None of these are right

Identify the given and the prove of the conditional statement:
If ∠1 and ∠2 are vertical angles, then ∠1 ≅ ∠2.

• Given: ∠1 and ∠2 are angles   Prove: ∠1 ≅ ∠2 are vertical
• Given: ∠1 and ∠2 are vertical angles                   Prove: ∠1 and ∠2 are adjacent
• Given: ∠1 = ∠2                    Prove: ∠1 ≅ ∠2 are vertical
• Given: ∠1 and ∠2 are vertical angles                 Prove: ∠1 ≅ ∠2