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3.1 Parallel & Perpendicular 
HW pg.150 #3­13 
odd, 19­31 
odd 
September 24, 2014 
3.1 Pairs of Lines and Angles 
Parallel Lines: 2 lines that do not intersect and are coplanar. 
k 
m k // m 
Skew Lines: 2 lines that do not intersect and are NOT coplanar. 
Parallel Planes: 2 planes that do not intersect. 
Postulate 13: Parallel Postulate 
If there is a line and a point not on the line, then there is 
exactly one line through the point parallel to the given line. 
Postulate 14: Perpendicular Postulate 
If there is a line and a point not on the line, then there is 
exactly one line through the point perpendicular to the 
given line. 
B 
A 
C 
M 
F 
D
3.1 Parallel & Perpendicular 
HW pg.150 #3­13 
odd, 19­31 
odd 
September 24, 2014 
Transversal: a line that intersects two or more lines at different points 
Angles formed by transversals 
Corresponding Angles: corresponding positions 
2 
6 
Alternate Interior Angles: lie between the 2 lines and opposite sides of 
transversal 
4 
5 
Alternate Exterior Angles: lie outside the 2 lines on opposite sides of the 
transversal 
1 
8 
Consecutive Interior Angles: lie between the 2 lines on the same side 
of the transversal 
3 
5
3.1 Parallel & Perpendicular 
HW pg.150 #3­13 
odd, 19­31 
odd 
September 24, 2014
3.1 Parallel & Perpendicular 
HW pg.150 #3­13 
odd, 19­31 
odd 
September 24, 2014
3.1 Parallel & Perpendicular 
HW pg.150 #3­13 
odd, 19­31 
odd 
September 24, 2014
3.1 Parallel & Perpendicular 
HW pg.150 #3­13 
odd, 19­31 
odd 
September 24, 2014 
HW 
pg. 150 
#3­13 
odd 
19­31 
odd

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3.1 notes

  • 1. 3.1 Parallel & Perpendicular HW pg.150 #3­13 odd, 19­31 odd September 24, 2014 3.1 Pairs of Lines and Angles Parallel Lines: 2 lines that do not intersect and are coplanar. k m k // m Skew Lines: 2 lines that do not intersect and are NOT coplanar. Parallel Planes: 2 planes that do not intersect. Postulate 13: Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. Postulate 14: Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. B A C M F D
  • 2. 3.1 Parallel & Perpendicular HW pg.150 #3­13 odd, 19­31 odd September 24, 2014 Transversal: a line that intersects two or more lines at different points Angles formed by transversals Corresponding Angles: corresponding positions 2 6 Alternate Interior Angles: lie between the 2 lines and opposite sides of transversal 4 5 Alternate Exterior Angles: lie outside the 2 lines on opposite sides of the transversal 1 8 Consecutive Interior Angles: lie between the 2 lines on the same side of the transversal 3 5
  • 3. 3.1 Parallel & Perpendicular HW pg.150 #3­13 odd, 19­31 odd September 24, 2014
  • 4. 3.1 Parallel & Perpendicular HW pg.150 #3­13 odd, 19­31 odd September 24, 2014
  • 5. 3.1 Parallel & Perpendicular HW pg.150 #3­13 odd, 19­31 odd September 24, 2014
  • 6. 3.1 Parallel & Perpendicular HW pg.150 #3­13 odd, 19­31 odd September 24, 2014 HW pg. 150 #3­13 odd 19­31 odd