1. DRILL Identify whether the following objects represent parallel lines, transversal lines, or both. 1.Window grills ( made of lines) 2.Spider webs 3.Bridge 4.Legs of the chair 5.highways

2. Opening activity t n m Describe the figure and the relationships that exist between the lines & angles. t  m, t  n 1 2 3 4 The numbered angles and its adjacent & supplementary angles are all RIGHT ANGLES & therefore CONGRUENT. What can you say about line m and line n? m // n

3. What are parallel lines? t n m In the figure, if line m is parallel to line n, then what do you call line t ? Lines that are coplanar but never intersect. Transversal line. A line that intersect two or more parallel lines at different points.

4. Opening activity d b k Describe the figure and the relationships that exist between the lines. k //b, d is a transversal

5. Opening activity t n m1 6 2 5 78 What relationship exist between the following pairs of angles.  1 &  2,  3 &  4  1 &  3,  4 &  2  5 &  7,  5 &  6  7 &  8,  6 &  8 34 They are ADJACENT and SUPPLEMENTARY.

6. Opening activity t n m1 6 2 5 7 8 What relationship exist between the following pairs of angles.  1 &  4,  3 &  2  5 &  8,  6 &  7 3 4 They are VERTICAL  s and are CONGRUENT.

7. PAIRS OF ANGLES FORMED BY PARALLEL LINES CUT BY A TRANSVERSAL

8. MAIN ACTIVITY Euclidian Geometry depends on the supposition that parallel lines exist. This activity investigates what happens to the measures of corresponding angles when two lines are cut by a transversal. The investigation continues by exploring angle relationships that are formed when two parallel are cut by a transversal.

9. Main activity t n m 6 5 In the figure,  3,  4,  5, &  6 are called INTERIOR ANGLES 3 4

10. Main activity t n m1 2 78 In the figure,  1,  7,  2,&  8 are called EXTERIOR ANGLES

11. Main activity t n m 6 5 In the figure,  3 &  6  5, &  4 are called ALTERNATE INTERIOR ANGLES 3 4

12. Main activity t n m 6 5 3 4 - Two nonadjacent interior angles on the OPPOSITE side of a transversal. DESCRIBE ALTERNATE INTERIOR ANGLES

13. Main activity t n m1 2 78 In the figure,  1 &  8,  2 &  7 are called ALTERNATE EXTERIOR ANGLES -Two nonadjacent exterior angles on the OPPOSITE side of a transversal DESCRIBE ALTERNATE EXTERIOR ANGLES

14. Main activity t n m 6 5 In the figure,  3 &  5,  4 &  6 are called CO- INTERIOR ANGLES or SAME –SIDE INTERIOR ANGLES 3 4 - Two nonadjacent interior angles on the same side of a transversal. DESCRIBE CO-INTERIOR ANGLES or SAME –SIDE INTERIOR ANGLES

15. Main activity t n m1 2 78 In the figure,  1 &  7,  2 &  8 are called CO- EXTERIOR ANGLES or SAME –SIDE EXTERIOR ANGLES -Two nonadjacent exterior angles on the same side of a transversal DESCRIBE CO-EXTERIOR ANGLES or SAME –SIDE EXTERIOR ANGLES

16. Main activity t n m1 6 2 5 78 In the figure,  1 &  5,  3 &  7  2 &  6,  4 &  8 are called CORRESPONDING ANGLES 3 4 - Two nonadjacent angles on the same side of a transversal such that one is an EXTERIOR ANGLE and the other is an INTERIOR ANGLE.

17. Exercises c b a 1 6 25 7 8 In the figure, a // b, c is a transversal line 3 4 Name two pairs of: 1.Consecutive angles 2.Alternate interior angles. 3. Alternate exterior angles 4. co- interior angles 5. Co –exterior angles

18. Exercises c b a 1 6 25 7 8 In the figure, a // b, c is a transversal line 3 4 Name pairs of: 1.Corresponding angles  1 &  4  5 &  6  8 &  7  2 &  3

19. Exercises c b a 1 6 25 7 8 In the figure, a // b, c is a transversal line 3 4 Name two pairs of: 2. Alternate interior angles.  5 &  7  2 &  4

20. Exercises c b a 1 6 25 7 8 In the figure, a // b, c is a transversal line 3 4 Name two pairs of: 3. Alternate Exterior angles.  1 &  3  8 &  6

21. Exercises c b a 1 6 25 7 8 In the figure, a // b, c is a transversal line 3 4 Name two pairs of: 4. Co- Exterior angles.  1 &  6  8 &  3

22. Exercises c b a 1 6 25 7 8 In the figure, a // b, c is a transversal line 3 4 Name two pairs of: 5. Co-interior angles.  5 &  4  2 &  7

23. QUIZ Get ¼ sheet of paper

24. QUIZ c b a 2 7 41 6 3 In the figure, a // b, c is a transversal line 8 5 Name two pairs of: 1.Corresponding angles 2.Alternate interior angles. 3. Alternate exterior angles 4. co- interior angles 5. Co –exterior angles

25. Assigment In the figure, identify and name the pairs of parallel lines and its transversal. B F A C D G E