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If you have two parallel lines, then they have the same slope. If you have another line, in the same plane as the first two lines, and it is not parallel to them, then the angle of intersection with the first line will be the same as the angle of intersection with the second line. If this angle is 90°, then the third line is perpendicular to the first line and also to the second line.
For an example, think of a rectangle. Two opposite sides are parallel. Now pick one of the 3rd or 4th sides. Each of these sides is perpendicular to both the first side and the second side.
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If two parallel lines are perpendicular to the same line do the lines intersect?
the parallel lines never intersect each other but they both intersect the line they are perpendicular to
Is two lines connected by their perpendicular is parallel?
Parallel lines run in the same direction. If they are intersected by one line and that line is perpendicular to both, then it proves that the lines run parallel to each other.
If two lines are perpendicular to the same line then the two lines are parallel?
They are parallel to each other.
What is the relation between two lines perpendicular to the same line?
They're parallel.
is this statement true or falseTwo lines that are perpendicular to the same line are parallel.?
true
If two parallel lines are perpendicular to the same line do the lines intersect?
the parallel lines never intersect each other but they both intersect the line they are perpendicular to
What are two lines that are perpendicular to the same line?
parallel
In a plane if two lines are perpendicular to the same line then they are parallel to each other?
Yes they are. It's a postulate: In a plane two lines perpendicular to the same line are parallel.
Is two lines connected by their perpendicular is parallel?
Parallel lines run in the same direction. If they are intersected by one line and that line is perpendicular to both, then it proves that the lines run parallel to each other.
If two lines are perpendicular to the same line then the two lines are parallel?
They are parallel to each other.
Line l is parallel to line m line l is perpendicular to line p what conclusions can be drawn about the relationship between lines m and p?
Lines are parallel if they are perpendicular to the same line. Since the lines m and l are parallel (given), and the line l is perpendicular to the line p (given), then the lines m and p are perpendicular (the conclusion).
What is the relation between two lines perpendicular to the same line?
They're parallel.
is this statement true or falseTwo lines that are perpendicular to the same line are parallel.?
true
Do perpendicular lines have the same exact slope?
No, parallel lines have exactly same slope Perpendicular line have a slope that is negative reciprocal of each other that is if m = slope of line then slope of perpendicular line is -1/m
How can you prove that a constructed line is parallel to a given line Assume that the transversal line is not perpendicular to the other lines?
If the lines have the same slope but with different y intercepts then they are parallel
If two parallel lines are perpendicular to the same line what must be true for all three lines?
l dnot relly know but it is a
Line n is perpendicular to line m. Line l is perpendicular to line m. Is it possible for line n and line l to be skew?
No. It's impossible. There's a corollary that states: If two lines are perpendicular to the same line, then the two lines are parallel.
