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If I get a 100%, then I will have an A. . I get a 100%. What is q?. What is p?. I will have an A. What is the converse?. If I have an A, then I got a 100%. Solve the system: x + y = 1 x – y = 9. x + y = 1 5 + y = 1 y = -4. 2x = 10 x = 5.
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If I get a 100%, then I will have an A. I get a 100% What is q? What is p? I will have an A What is the converse? If I have an A, then I got a 100%.
Solve the system: x + y = 1 x – y = 9 x + y = 1 5 + y = 1 y = -4 2x = 10 x = 5
How do you know that: 1 2 3 4 8 7 6 5 The lines are parallel? Given (labeled in diagram) Angle 8 congruent to angle 2? Vertical angle thm Angle 7 congruent to angle 3? // lines alt int angles are congruent
JAM is obtuse. Find the restrictions on x. J (6x + 12) M 90 < 6x + 12 < 180 78 < 6x < 168 13 < x < 28 A
Solve the system: 3x + 2y = 15 4x – 6y = 46 9x + 6y = 45 4x – 6y = 46 3x + 2y = 15 3(7) + 2y = 15 21 + 2y = 15 2y = -6 y = -3 13x = 91 x = 7 Multiply by 3
How do you know that: 1 2 3 4 8 7 6 5 Angle 1 congruent to angle 5? // lines alt ext angles congruent Angle 3 congruent to angle 5? Vertical angle thm Angle 1 congruent to angle 3? // lines corresponding angles are congruent
If I get a 100%, then I will have an A. If I don’t get a 100%, then I won’t have an A. What is the contrapositive? What is the inverse? If I don’t have an A, then I didn’t get a 100% Is the inverse true or false? False, I could get a 98% and still have an A.
Are the lines // if: (and how do you know?) 1 2 3 4 8 7 6 5 Angle 1 congruent to angle 5? Yes, alt ext angles congruent// lines Angle 3 congruent to angle 5? No Angle 1 congruent to angle 3? Yes, corresponding angles are congruent// lines
GWM is acute. Find the restrictions on x. G (5x – 20) M 0 < 5x – 20 < 90 20< 5x < 110 4< x < 22 W
How do you know that: 1 2 3 4 8 7 6 5 Angle 1 supp to angle 2? Definition of linear pair Angle 1 supp to angle 4? // lines SSE angles are supp Angle 7 supp to angle 6? // lines SSI angles are supp
List all pairs of: 1 2 3 4 8 7 6 5 2 & 6, 7 & 3 Alt int angles Corresponding angles 2 & 4, 7 & 5, 8 & 6, 1 & 3 Same Side Interior angles 2 & 3, 7 & 6 Same Side Exterior angles 1 & 4, 8 & 5 Alt ext angles 1 & 5, 8 & 4
Are the lines // if: (and how do you know?) 1 2 3 4 8 7 6 5 Angle 7 congruent to angle 3? Yes, alt int angles congruent// lines Angle 5 supp to angle 6? No Angle 7 supp to angle 6? Yes, SSI angles are supp// lines
If an animal is a zebra, then it is mammal. If an animal is NOT a zebra, then it is not a mammal. What is the contrapositive? What is the inverse? If an animal is not a mammal, then it is not a zebra. Is the inverse true or false? False, the mammal could be a human.
If an animal is a zebra, then it is mammal. An animal is a zebra What is q? What is p? It is a mammal What is the converse? If an animal is a mammal, then it is a zebra.