1. BY: HYUNGUM KIM 9-4

2.  Parallel lines are 2 lines that NEVER meet and they are in the same plane. Parallel planes are planes that never meet.(2)  Skew lines are lines that NEVER meet but they are not going in the same directions 1 2

3.  Transversal is a line that goes through 2 lines that form a parallel or a coplanar.

4.  CORRESTPONDING :  Those are angles that are on the same place of a transversal. 1 2

5.  ALTERNATE EXTERIOR ANGLES:  Those are angles that are on the outside of a transversal and they are at the opposite direction. 1 2

6.  ALTERNATE INTERIOR ANGLES:  Those are angles that are in the inside of a transversal and they are opposite aswell. 1 2

7.  CONSECUTIVE INTERIOR ANGLES:  Those are angles that are on the inside of a transversal and they are on the same side. 1 2

8.  CONVERSE:  It is that if the corresponding is formed then there is a parallel.  CORRESPONDING ANGLE POSTULATE:  The corresponding lines are congruent. They are congruent if a transversal is formed. 50°< 1 70°

9.  INTERIOR ANGLES THEOREM:  When there is the transversal then the interior angles are congruent. With the converse its that if alternate interior angles are congruent then it will be parallel as well. 40° x = 70° x = 80° x =

10.  SAME SIDE INTERIOR ANGLES:  If this is changed to a transversal it would be supplementary, the converse would be that they would be parallel because of the corresponding angles. A B = 180° 90° = 180° X Y = 180°

11.  ALTERNATE EXTERIOR ANGLES THEREM:  When the transversal its formed then this angle will be congruent. Later the converse would be that if they are congruent this (congruent) would be parallel. 60° X = x= 60° 20° X = x= 20° 50° X = x= 50°

12.  PERPENDICULAR TRANSVERSAL THEOREM:  When you form a right angle that Is 90 degree. And you make them straight with a transversal form. AB X XㅗBXㅗB T D V VㅗDVㅗD Z H G GㅗZGㅗZ

13.  If a line is perpendicular to another line, a last line is perpendicular to the same first line then the first and last lines are parallel (and the middle one will be too) And if many lines are parallel all will be parallel to each other too. A B C D G J

14.  Slope and parallel are related because they have equal slopes if they are parallel. And it is related to perpendicular because of the reciprocal.  You find slope by: Y1 - Y2  X1 - X2

15.  (8,5) (6,1) 5-1 = 4  8-6 = 2  (10,15) (7,11) 15-11 =4  10- 7 =3  (5,8) (2,6) 8-6 = 2  5-2 = 3

16.  Slope intercept form is  Y =mx+b

17.  Y= 4/2X+6  up 6 then up 4and 2 to the left  Y= 2/-2X+8  up 8 then up 2 and 2 to the left.  Y= 3/6X-9  down 9 then up 3 and 6 to the right.