Definitions :
Definitions Parallel lines (ll) – lines that are coplanar & do not intersect
l ll m
Skew lines – lines that are not coplanar & do not intersect.
Parallel planes – 2 planes that do not intersect.
Example: the floor & the ceiling l m
Slide 3:
H G D C A B E F 1. Line AB & Line DC are _______.
2. Line AB & Line EF are _______.
3. Line BC & Line AH are _______.
4. Plane ABC & plane HGF are _______. Parallel
Parallel
Skew
Parallel
Postulate 13: ll postulate :
Postulate 13: ll postulate If there is a line & a point not on the line, then there is exactly one line through the point ll to the given line.
Postulate 14: Post. :
Postulate 14: Post. If there is a line & a point not on the line, then there is exactly one line through the point that is to the given line.
Transversal :
Transversal A line that intersects 2 or more coplanar lines at different points. l
m t
Slide 7:
2
3 4 5 6
7 8 Interior <s - <3, <4, <5, <6 (inside l & m)
Exterior <s - <1, <2, <7, <8 (outside l & m)
Alternate Interior <s - <3 & <6, <4 & <5 (alternate –opposite sides of the transversal)
Alternate Exterior <s - <1 & <8, <2 & <7
Consecutive Interior <s - <3 & <5, <4 & <6 (consecutive – same side of transversal)
Corresponding <s - <1 & <5, <2 & <6, <3 & <7, <4 & <8 (same location)
Assignment :
Assignment