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# Chapter 3 Geometry

### Math

Definition of Parallel Lines 2 lines are parallel iff they lie in the same plane and do not intersect line AB // line DC
Definition of Skew Lines 2 lines are skew iff they do not lie in the same plane and do not intersect
Definition of Parallel Planes 2 planes are // iff they do not intersect
Definition Parallel Segments or Rays segments or rays are parallel iff the lines that contain them are parallel
If 2 parallel planes are intersected by a third plane, then _____________ the lines of intersection are parallel
Defintion of Transversal a line is a transversal iff it intersects 2 or more coplanar lines at different points
interior angles exterior angles corresponding angles alternate interior angles alternate exterior angles same side interior angles angle 3, angle 4, angle 5, angle 6 angle 1, angle 2, angle 7, angle 8 angle1&angle5 angle2&angle6 angle3&angle7 angle4&angle8 angle 3 &angle 6 angle 4 & angle 5 angle 1& angle 8 angle 2 & angle 7 ang. 3 & ang. 5 ang. 4 & an
If 2 // lines have a transversal, then __________ corresponding angles are congruent alt. int. angles are congruent alt. ext. angles are congruent
If 2// lines have a transversal, then SSI angles are __________ (SSE) supplementary
If a transversal intersecting 2// lines is perpendicular to one of the lines it is _______________ also perpendicular to the other line
Through a point not on the line, there is exactly one line ________ to the given line. parallel
If 2 lines have a transversal and a pair of congruent corresponding angles then __________ (alt. ext, alt int.) the lines are parallel
If 2 lines have interior angles(exterior angles) on the same side of the transversl that are _____ then _______ supplementary then the lines are parallel
If 2 coplanar lines are perpendicular to the same line, then _______ they are parallel
If 2 lines are parallel to a 3rd line, then ___________ they are perpendicular to each other
Created by: Mickeyjump