2. You pay a $5 processing fee to order tickets no matter how many tickets you order. Each ticket costs $18. Which expression best represents the total cost of ordering n tickets ? a.1 8n+5b. 18-n-5 c. 18(n+5)d. 18(n-5) 1.1 warm-up 4

3. Pardekooper

4. Lets look at some new terms. Transversal is a line that intersects two coplanar lines at two distinct points. t r a n s v e r s a l

5. Lets look at the parts. Alternate interior angles Pardekooper 1 2 4 3  1 and  2,  3 and  4

6. Lets look at the parts. Pardekooper 1 Same-side interior angles 2 4 3  1 and  4,  2 and  3

7. Lets look at some new terms. Corresponding angles Pardekooper 1 2 4 3  1 and  7,  2 and  6,  3 and  8,  4 and  5 7 8 5 6

8. What if the two lines are parallel ? Pardekooper Corresponding Angles Postulate If a transversal intersects two parallel lines, then corresponding angles are congruent. 1 2 4 3 7 8 5 6 m  1  m  7 m  2  m  6 m  3  m  8 m  4  m  5

9. What if the two lines are parallel ? Pardekooper Alternate Interior Angles Theorem If a transversal intersects two parallel lines, then alternate interior angles are congruent. 1 2 4 3 m  1  m  2 m  3  m  4

10. What if the two lines are parallel ? Pardekooper Same-Side Interior Angles Theorem If a transversal intersects two parallel lines, then same-side angles are supplementary. 1 2 4 3 m  1  m  4 = 180 0 m  2  m  3 = 180 0

11. Lets try some angles. Pardekooper 1 5 3 4 6 2 Classify the following pairs of angles:  1and  2 corresponding  ’s  3 and  4  5 and  6 alternate interior  ’s corresponding  ’s

12. Lets work a problem. 1 5 3 4 8 7 6 2 50 0 Find the following degrees for the angles and tell the reason: m  1= 50 0 corresponding  ’s m  3= l1l1 l2l2 l3l3 l4l4 l 1 || l 2 l 3 || l 4 130 0 same-side  ’s m  4= 130 0 vertical  ’s m  5= 50 0 alternate interior  ’s m  2= same-side  ’s 130 0

13. Lets try just one more problem. Pardekooper x0x0 70 0 y0y0 50 0 Parallel lines m  x= 70 0 corresponding  ’s m  x +50 0 +m  y=180 0 straight  + 70 0 +50 0 +m  y=180 0 substitution 120 0 +m  y=180 0 combine terms 120 0 -120 0 +m  y=180 0 -120 0 subtraction m  y=60 0 combine terms

14. Pardekooper

15. Classify the following pairs of angles. 1.  1 and  2 ____________________ 2.  3 and  4 ____________________ 3.  5 and  6 ____________________ 4.  7 and  8_____________________ 5.  9 and  10 ___________________ 6.  11 and  12 __________________ 1 2 3 4 5 6 7 8 9 10 11 12 State the reason for the following: Statements 7. a || b 8.  3 and  2 are supplementary 9. c || d 10  1 and  2 are supplementary 11.  1  3 Reasons given ________________________ given ________________________ 12 3 4 a b cd 3.1 Properties of Parallel Lines 2x 0 y0y0 (y-50) 0 12. Find x. 13. Find y