3.1: Parallel Lines and Transversals Name: _____________________________ Warm-up: Determine if the real-world examples show lines that are parallel, perpendicular or neither.
¾ Describe how the two examples above that are neither are different from parallel and perpendicular lines.
Vocabulary: Parallel: coplanar lines that do not intersect
x Real-life examples: ___________________________________________________________________ Perpendicular: lines that intersect to form right angles
x Real-life example: ____________________________________________________________________ Skew: noncoplanar lines that do not intersect x 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.
x Real-life example: _______________________________
x In the diagram to the right the transversal is ____
Exterior Angles: ___________________ Interior Angles: ___________________ 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: _________________________
EXTERIOR
EXTERIOR
INTERIOR
Vertical Angles:
These angles are
___________________.
Linear Pair:
These angles are
___________________.
Alternate Interior:
These angles are
___________________.
Consecutive Interior:
These angles are
___________________.
Alternate Exterior:
These angles are
___________________.
Corresponding Angles:
These angles are
___________________.