2.1-2.3 Review Answers

  1. 37, 42
  2. 1.11111, 1.111111
  3. 8, 1.6
  4. 12345, 123456
  5. 0.0003, 0.00003
  6. 36, 49
  7. See image
  8. See image
  9. Is odd
  10. Is negative
  11. Is even
  12. Is a multiple of 10
  13. Multiply by 1
  14. Rectangle
  15. Leap year
  16. Hypothesis: You can predict the future

Conclusion: You can control the future

  1. Hypothesis: Dan is nearsighted

Conclusion: Dan needs glasses

  1. Hypothesis: Lines k and m are skew

Conclusion: Lines k and m are not perpendicular

  1. 13 – If the result is always larger than the original number, then you multiplied by a positive integer

14 – If a figure is a square, then it is a four sided figure with four right angles

15 – If a month has exactly 28 days, then it is February

  1. If a figure is a square, then it is a rhombus
  2. Converse: If , then True
  3. Conditional: If a person is a baseball player, then they are an athlete. True

Converse: If a person is an athlete, then they are a baseball player.False

  1. Conditional: If two numbers are even, then their product is even.True

Converse: If the product of two numbers is even, then the numbers are even.False

the product of two numbers is not even, then the numbers are not even. True

  1. Conditional: If the number is one, then it is the smallest possible square. True

Converse: If the number is the smallest possible square, then it is one.True

Biconditional: The number is one if and only if it is the smallest possible square.

  1. Conditional: If a figure is a rectangle then it has four sides. True

Converse: If a figure has four sides, then it is a rectangle. False

  1. Conditional: If a square has an area of, then is has sides that measure.

Converse: If a square has sides that measure, then it has an area of.

Biconditional: A square has an area of if and only if it has sides that measure.

  1. Conditional: If two numbers add up to be less than 12, then they have a product less than 37. True

Converse: If two numbers have a product less than 37, then they add up to be less than 12. True

Biconditional: Two numbers add up to be less than 12 if and only if they have a product less than 37.

  1. Conditional: If three points are on the same line, then they are collinear.True

Converse: If three points are collinear, then they are on the same line.True

  1. No. 10
  2. Yes
  3. No. Skew lines
  4. Yes
  5. Conditional: If lines m and n are skew, then lines m and n do not intersect. True

Converse: If lines m and n do not intersect, then lines m and n are skew.False

  1. Conditional: If a person can be president of the United States, then the person is a citizen of the Unites States. True.

Converse: If a person is the citizen of the United States, then the person can be the president of the Unites States. True.

  1. Conditional: If three points are collinear, then they lie on the same line.True

Converse: If three points lie on the same line, then they are collinear.True