# If I get a 100%, then I will have an A. What is p? I get a 100% What is q? I will have an A What is the converse? If I have an A, then I got a 100%.

## Presentation on theme: "If I get a 100%, then I will have an A. What is p? I get a 100% What is q? I will have an A What is the converse? If I have an A, then I got a 100%."— Presentation transcript:

If I get a 100%, then I will have an A. What is p? I get a 100% What is q? 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 2x = 10 x = 5 x + y = 1 5 + y = 1 y = -4

2 3 4 5 1 67 8 How do you know that: 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 The lines are parallel?

 JAM is obtuse. Find the restrictions on x. A M J (6x + 12)  90 < 6x + 12 < 180 78 < 6x < 168 13 < x < 28

Solve the system:3x + 2y = 15 4x – 6y = 46 Multiply by 3 13x = 91 x = 7 9x + 6y = 45 4x – 6y = 46 3x + 2y = 15 3(7) + 2y = 15 21 + 2y = 15 2y = -6 y = -3

2 3 4 5 1 67 8 How do you know that: // 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 Angle 1 congruent to angle 5?

If I get a 100%, then I will have an A. What is the inverse? If I don’t get a 100%, then I won’t have an A. What is the contrapositive? 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.

2 3 4 5 1 67 8 Are the lines // if: (and how do you know?) 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 Angle 1 congruent to angle 5?

 GWM is acute. Find the restrictions on x. W M G (5x – 20)  0 < 5x – 20 < 90 20 < 5x < 110 4 < x < 22

2 3 4 5 1 67 8 How do you know that: 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 Angle 1 supp to angle 2?

2 3 4 5 1 67 8 List all pairs of: 2 & 6, 7 & 3 Corresponding angles2 & 4, 7 & 5, 8 & 6, 1 & 3 Same Side Interior angles 2 & 3, 7 & 6 Alt int angles Same Side Exterior angles 1 & 4, 8 & 5 Alt ext angles 1 & 5, 8 & 4

2 3 4 5 1 67 8 Are the lines // if: (and how do you know?) 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 Angle 7 congruent to angle 3?

If an animal is a zebra, then it is mammal. What is the inverse? If an animal is NOT a zebra, then it is not a mammal. What is the contrapositive? 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.

What is p? An animal is a zebra What is q? It is a mammal What is the converse? If an animal is a mammal, then it is a zebra. If an animal is a zebra, then it is mammal.

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