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Conditional statements and logical reasoning — Homework

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Conditional statements and logical reasoning — Homework

For each conditional, write the requested related statement, and state whether it is true or false with a reason.

  1. 1.Write the converse of "If a polygon is a triangle, then it has three sides."
  2. 2.Write the inverse of "If a polygon is a triangle, then it has three sides."
  3. 3.Write the contrapositive of "If two angles are supplementary, then they add to 180 degrees."
  4. 4.Write the converse of "If a number is divisible by 4, then it is divisible by 2," and state whether it is true or false.
  5. 5.A forecaster notices it has rained every day this week and concludes it will rain tomorrow too. Is this inductive or deductive reasoning? Explain in 2-3 sentences why this kind of reasoning can never be a proof.
🌲 Homeschool of the FutureTenth Grade · Math · week 4 homework