120 likes | 219 Views
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 ______
E N D
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 ______ 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
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
>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
>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
>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
>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
>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
>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
>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
>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
>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