3.1: Parallel Lines and Transversals
Name: _____________________________
Warm-up: Determine if the real-world examples show lines that are parallel, perpendicular or neither.
Describe how the two examples above that are neither are different from parallel and perpendicular lines.
Vocabulary:
Parallel: coplanar lines that do not intersect
Real-life examples: ___________________________________________________________________
Perpendicular: lines that intersect to form right angles
Real-life example: ____________________________________________________________________
Skew: noncoplanar lines that do not intersect
Real-life example: ____________________________________________________________________
Practice: Think of each segment in the diagram as part of a line. There may be more than one correct answer.
1.
Name a line parallel to HJ . _____________
2.
Name a line perpendicular to LM . _____________
3.
Name a line skew to GH . _____________
4.
Name a plane parallel to plane GHJ. _____________
5.
Name a plane perpendicular to plane KLM. _____________
Transversal: a line that intersects two or more lines in the same plane at different points.
Real-life example: _______________________________
In the diagram to the right the transversal is ____
EXTERIOR
INTERIOR
Exterior Angles: ___________________
Interior Angles: ___________________
Vertical Angles:
EXTERIOR
Alternate Interior:
Consecutive Interior:
These angles are
These angles are
These angles are
___________________.
___________________.
___________________.
Linear Pair:
Alternate Exterior:
Corresponding Angles:
These angles are
These angles are
These angles are
___________________.
___________________.
___________________.
Practice: Identify the transversal and then name the relationship between the following angles.
6. ∠2 and ∠12; Transversal: _____ Relationship: __________________________
7. ∠1 and ∠9; Transversal: _____ Relationship: ___________________________
8. ∠1 and ∠3; Transversal: _____ Relationship: ___________________________
9. ∠2 and ∠5; Transversal: _____ Relationship: ___________________________
10. ∠11 and ∠8; Transversal: _____ Relationship: _________________________