Jasmine Althea Derige / Kei Rivas Date Started: January 3, 2021 Date Completed: January Acad Service 002-21 If-then Statements III. Activity A. 1. 2. 3. Hypothesis : Today is Saturday. Conclusion : The day after today is Sunday. Hypothesis : It’s sunny. Conclusion : You should apply sun block on your skin. Hypothesis : A closed figure is a rhombus. Conclusion : It is a quadrilateral. B. 1. If a shape is an octagon, then it has eight sides. 2. If the lines are perpendicular, then it forms right angles. 3. If a number is even, then it is divisible by 2. 4. If a triangle is an equilateral, then it has three congruent sides. Converse, Inverse, and Contrapositive Statements III. Activity 1. Inverse hexagon. Converse Contrapositive sides. 2. Inverse same length. Converse: Contrapositive congruent. : If a polygon does not have six sides, then it is not a : If a polygon is a hexagon, then it has six sides. : If a polygon is not a hexagon, then it does not have six : If segments are not congruent, then they do not have the : If segments have the same length, then they are congruent. : If segments do not have the same length, then they are not 3. Inverse Converse Contrapositive 4. Inverse Converse Contrapositive 5. Inverse graduate. Converse Contrapositive teacher. : If I will not win the game, then I will not get a prize. : If I’ll get the prize, then I win the game. : If I will not get a prize, then I will not win the game. : If you are not a dog, then you know how to fly. : If you do not know how to fly, then you are a dog. : If you know how to fly, then you are not a dog. : If a woman is not a teacher, then she is not a college : If a woman is a college graduate, then she is a teacher. : If a woman is not a college graduate, then she is not a Mathematical Reasoning I. Activity CONDITIONAL INVERSE 1. If it is 2016, then If it is not it is a leap year. 2016, then it is not a leap year. 2. If it is 10x=5, If it is not then it is x=2. 10x=5, then it is not x=2. 3. If a polygon has If a polygon congruent sides does not and angles, then have it is regular. congruent sides and angles, then it is not regular. 4. If the angles are If the angles vertical, then are not they are equal. vertical, then they are not equal. 5. If an animal is a If an animal bird, then it has is not a bird, feathers. then it has no feathers. CONVERSE If it is a leap year, then it is 2016. CONTRAPOSITIVE If it is not a leap year, then it is not 2016. If it is x=2, then it is 10x=5. If it is not x=2, then it is not 10x=5. If a polygon is regular, then it has congruent sides and angles. If a polygon is not regular, then it does not have congruent sides and angles. If the angles are equal, then they are vertical. If the angles are not equal, then they are not vertical. If an animal has feathers, then it is a bird. If an animal does not have feathers, then it is not a bird. POST-TEST KNOWLEDGE 1. If you eat too much, then you will get fat. 2. If lines p and q intersect, then lines p and q have at least one point in common. 3. If two angles are supplements of the same angle, then they are equal. PROCESS 1. Inverse : If you will not turn the television off, then you will not be able to study better. Converse : If you will be able to study better, then you turn the television off. Contrapositive : If you will not be able to study better, then you will not turn the television off. 2. Inverse : If a triangle is not isosceles, then it does not have two equal angles. Converse : If a triangle has two equal angles, then it is isosceles. Contrapositive : If a triangle does not have two equal angles, then it is not isosceles. 3. Inverse : If lines on the same plain intersect, then they are not called parallel. Converse : If lines are called parallel, then they intersect on the same plane. Contrapositive : If lines are not called parallel, then they do not intersect on the same plane. PROCESS 1. (4,5) ) (-2,-8) 2. (5,10) (4,8) (3,6) (2,4) (1,2) 3. (0,2) (6,0) 4. (-3,0) (-1,1)