Explore the fundamentals of parallel lines in geometry, including their definition, properties, and the role of transversals in forming angles. Understand how corresponding, alternate, and consecutive angles are classified and used to solve geometric problems. Learn how to represent parallel lines in coordinate geometry using linear equations and determine their slope to confirm parallelism.
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1
Orientation of parallel lines
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2
Coplanar requirement for parallelism
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3
A ______ crosses at least two other lines and can create unique angles when intersecting with parallel lines.
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4
Corresponding Angles Position
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5
Alternate Interior Angles Relationship
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6
Consecutive Interior Angles Sum
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7
The ______ of a line, represented as 'm' in the equation y=mx+b, determines its ______ relative to the x-axis, and lines with the same slope will ______ intersect.
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8
Slope definition
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9
Slope calculation formula
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10
To calculate ______ angles when dealing with parallel lines, one can use properties of corresponding, ______, and consecutive angles.
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11
To verify if two lines are parallel, one should check if their ______ are equal and their y-intercepts are ______.
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