SWLT: Identify angle pairs formed by three intersecting lines GEOMETRY 3.1
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
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 XX q X
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
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
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
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
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