Question | Answer |
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 |