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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. _____________

Warm-up: Determine if the real-world examples show lines

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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

___________________.