Questions and Answers
What are parallel lines?
What are skew lines?
Non-coplanar lines that do not intersect.
What defines perpendicular lines?
Two lines that intersect to form a right angle.
What is a transversal?
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What are parallel planes?
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Define corresponding angles.
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What are vertical angles?
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What is a linear pair?
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What are alternate interior angles?
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Define alternate exterior angles.
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What are same side interior angles?
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What is the slope of a line?
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What is the slope-intercept form of a linear equation?
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What is the standard form of a linear equation?
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What is the distance from a point to a line?
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Study Notes
Parallel Lines and Related Concepts
- Parallel Lines: Coplanar lines that maintain a constant distance apart and do not intersect, exhibiting the same slope.
- Skew Lines: Lines that do not lie in the same plane and do not intersect.
- Perpendicular Lines: Lines that intersect at a right angle (90 degrees).
- Transversal: A line that crosses at least two other lines, creating various angles.
- Parallel Planes: Flat surfaces that do not intersect at any point.
Angle Relationships
- Corresponding Angles: Angles that are in the same position relative to two lines cut by a transversal; they are congruent.
- Vertical Angles: Angles located directly across from each other when two lines intersect; these angles are congruent.
- Linear Pair: Two adjacent angles that form a straight line; they are supplementary, meaning their measures add up to 180 degrees.
- Alternate Interior Angles: Angles located inside parallel lines and on opposite sides of the transversal; these angles are congruent.
- Alternate Exterior Angles: Angles located outside parallel lines and also on opposite sides of the transversal; these angles are congruent.
- Same Side (Consecutive) Interior Angles: Angles located between parallel lines on the same side of the transversal; they are supplementary.
Line Properties
- Slope of a Line: The ratio of vertical change (rise) to horizontal change (run), indicating the steepness of a line.
- Slope-Intercept Form: A way to express a linear equation in the format (y = mx + b), where (m) represents the slope and (b) the y-intercept.
- Standard Form of a Linear Equation: A linear equation represented as (Ax + By = C), where (A), (B), and (C) are constants.
- Distance From a Point to a Line: Measured as the length of the shortest line segment perpendicular to the given line from the point.
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Description
Test your knowledge of parallel lines and related concepts with these flashcards. This quiz covers essential terms like skew lines, perpendicular lines, and transversals. Perfect for students studying for geometry exams or enhancing their understanding of line relationships.
