Parallel and Perpendicular Lines

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What are parallel lines?
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Parallel lines are lines in a plane that never meet; they are always the same distance apart.
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What are perpendicular lines?
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Perpendicular lines are lines that intersect at a right angle (90 degrees).
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How do you symbolically represent parallel lines?
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Parallel lines are represented with the symbol '||', e.g., AB || CD.
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How do you symbolically represent perpendicular lines?
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Perpendicular lines are represented with the symbol '⊥', e.g., AB ⊥ CD.
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Can two lines be both parallel and perpendicular? Why or why not?
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No, two lines can’t be both parallel and perpendicular because parallel lines never intersect, while perpendicular lines always intersect.
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In a coordinate plane, how do you find if two lines are parallel?
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Two lines are parallel if they have the same slope.
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In a coordinate plane, how do you find if two lines are perpendicular?
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Two lines are perpendicular if the product of their slopes is -1.
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What is the slope of a line that is vertical?
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The slope of a vertical line is undefined.
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What is the slope of a line that is horizontal?
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The slope of a horizontal line is 0.
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If one line has a slope of 2, what is the slope of a line parallel to it?
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The slope of a line parallel to it is also 2.
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If one line has a slope of 3, what is the slope of a line perpendicular to it?
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The slope of a line perpendicular to it is -1/3.
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What real-world examples can represent parallel lines?
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Examples include railroad tracks or the opposite edges of a ruler.
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In a triangle, can two sides be parallel?
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No, in a triangle, no two sides can be parallel.
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Give an example of a real-world object that demonstrates perpendicular lines.
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The corners of a piece of paper or a cross are examples of perpendicular lines.
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What tool can you use to verify if lines are perpendicular?
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A protractor can be used to check if lines intersect at a 90-degree angle.
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