1. SWLT: Identify angle pairs formed by three intersecting lines GEOMETRY 3.1

2. TERMS: Parallel Lines: Lines that are both coplanar and do not intersect They have the same slope Skew Lines Lines that do not intersect, but are not coplanar Transversal A line that intersects two or more coplanar lines at different points

3. Parallel Postulate If there is a line and a point not on the line, then there is exactly one line that is parallel to that line at that given point Perpendicular Postulate If there is a line and a point not on that line, then there is exactly one line through the point perpendicular to the given line POSTULATES q XX q  X

4. Corresponding Angles: Two angles that are in corresponding positions on both the transversal and accompanying lines  1 &  5 are to the left of the transversal and on the top of their accompanying lines ANGLES FORMED BY TRANSVERSALS 1 5 t m n

5. Alternate Interior Angles: Two angles that are on the opposite sides of the transversal and lie between the two accompanying lines  3 &  6 are on opposite or alternating sides of the transversal and lie on the inside of the two accompanying lines ANGLES FORMED BY TRANSVERSALS 3 6 t m n

6. Alternate Exterior Angles: Two angles that are on the opposite sides of the transversal and lie on the outside of accompanying lines  2 &  7 are on opposite or alternating sides of the transversal and lie on the outside of the two accompanying lines ANGLES FORMED BY TRANSVERSALS 2 7 t m n

7. Consecutive Interior Angles: (AKA Same Side Interior Angles) Two angles that are on the same side of the transversal and lie between the two accompanying lines  4 &  6 are on the same side of the transversal and lie on the inside of the two accompanying lines ANGLES FORMED BY TRANSVERSALS 4 6 t m n

8. Corresponding Angles  A &  W;  B &  X  C &  Y;  D &  Z Alternate Interior Angles  D &  W;  B &  Y Alternate Exterior Angles  A &  Z;  C &  X Consecutive Interior Angles  D &  Y;  B &  W NAME TWO PAIRS OF THE FOLLOWING A B p h s C D W X Y Z