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Thursday 28, 2013 Day 108

SWBAT explain and work with: >Basic laws of inequality >Inverses and contrapositives >Indirect proof >Inequalities for one and two triangles. Hmwk: Study for test on chapter 6. Thursday 28, 2013 Day 108. Complete the following sentences: 1. BM ____ BC because ______

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Thursday 28, 2013 Day 108

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  1. SWBAT explain and work with: >Basic laws of inequality >Inverses and contrapositives >Indirect proof >Inequalities for one and two triangles. Hmwk: Study for test on chapter 6 Thursday 28, 2013 Day 108

  2. Complete the following sentences: 1. BM ____ BC because ______ 2. <B _____<2 becaue ______ 3. If 2m<2 = m<1 then m<2 =______. Why? 4. If 4x + 7 > 3 then 4x + 1 > 2, Why? A Thursday 28, 2013 Day 108 1 2 B C M

  3. 1. BM < BC because Whole > Part 2. m<B < m<2 because of exterior triangle Inequalty theorem. 3. If 2m<2 = m<1 then m<2 = ½ m<1. Because of division property of ineq. 4. If 4x + 7 > 3 then 4x + 1 > 2, False because of Add/Subt prop of inequality Thursday 28, 2013 Day 108

  4. >Given the following statement is true: If a figure is a rhombus then is a parallelogram. 1. Draw the Venn diagram for this statement. 2. What is the logical equivalent of this statement? Thursday 28, 2013 Day 108

  5. >Given the following statement is true: • If a figure is a rhombus then is a parallelogram. • Draw the Venn diagram for this statement. • “is a rhombus” is in the small circle. • “is a parallelogram” is in the big circle. • 2. What is the logical equivalent of this statement? • If a figure is a parallelogram then it is a rhombus. Thursday 28, 2013 Day 108

  6. >Given the following statement is true: • If a figure is a rhombus then is a parallelogram. • >What can you conclude from the following statements? • A figure is a parallelogram. • A figure is not a rhombus. • A figure is a rhombus. • A figure is not a parallelogram. Thursday 28, 2013 Day 108

  7. >Given the following statement is true: • If a figure is a rhombus then is a parallelogram. • P Q • A figure is a parallelogram. • Q so no conclusion. • A figure is not a rhombus. • NOT P so no conclusion • A figure is a rhombus. • P  Q • A figure is not a parallelogram. • NOT Q  NOT P Thursday 28, 2013 Day 108

  8. >Given the following statement is true: If a bog is big then it is not clumbersome. 1. Draw the Venn diagram for this statement. 2. What is the logical equivalent of this statement? Thursday 28, 2013 Day 108

  9. >Given the following statement is true: • If a bog is big then it is not clumbersome. • Draw the Venn diagram for this statement. • “a bog is big” in the little circle. • “is not clumbersome” in the big circle. • 2. What is the logical equivalent of this statement? • If a bog is clumbersome then it is not big. Thursday 28, 2013 Day 108

  10. >Given the following statement is true: • If a bog is big then it is not clumbersome. • A bog is clumbersome. • NOT Q  NOT P “is not big” • A bog is not big. • NOT P so no conclusion. • A bog is not clumberson. • Q so no conclusion. • A bog is big. • P  Q “is not clumbersome.” Thursday 28, 2013 Day 108

  11. >Given the following statement is true: • If a bog is big then it is not clumbersome. • What is conclusion can be drawn from each of the following statements? • A bog is clumbersome. • A bog is not big. • A bog is not clumberson. • A bog is big. Thursday 28, 2013 Day 108

  12. >Answer questions using the following diagram for the info given on the board. B 1 2 Thursday 28, 2013 Day 108 5 6 A C 3 4 M

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