It depends on what kind of line you are dealing with.
If you have the lines on paper...
It is impossible for parallel lines to be perpendicular. Perpendicular lines are intersecting lines, meaning that they cross each other. Parallel lines, on the other hand, are lines that never meet, no matter how far they are extended in either direction. So intersecting lines (which includes perpendicular lines) and parallel lines are exact opposites. Parallel lines will never meet or cross; they cannot be perpendicular.
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.
Yes, it is true. If a transversal is perpendicular to one of two parallel lines, it must also be perpendicular to the other parallel line. This is a consequence of the properties of parallel lines and transversals, which dictate that corresponding angles formed by the transversal and the parallel lines are congruent. Therefore, if one angle is a right angle, the other must also be a right angle, confirming the perpendicularity.
One single line is never parallel or perpendicular. Those words tell you somethingabout the relationship between two lines.
One single line is never parallel or perpendicular. Those words tell you somethingabout the relationship between two lines.
It is impossible for parallel lines to be perpendicular. Perpendicular lines are intersecting lines, meaning that they cross each other. Parallel lines, on the other hand, are lines that never meet, no matter how far they are extended in either direction. So intersecting lines (which includes perpendicular lines) and parallel lines are exact opposites. Parallel lines will never meet or cross; they cannot be perpendicular.
since one parallel lines is perpendicular to another line, the other parallel line is perpendicular to the line as well. so the two would not be parallel, only the original two.
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.
Yes, it is true. If a transversal is perpendicular to one of two parallel lines, it must also be perpendicular to the other parallel line. This is a consequence of the properties of parallel lines and transversals, which dictate that corresponding angles formed by the transversal and the parallel lines are congruent. Therefore, if one angle is a right angle, the other must also be a right angle, confirming the perpendicularity.
One single line is never parallel or perpendicular. Those words tell you somethingabout the relationship between two lines.
One single line is never parallel or perpendicular. Those words tell you somethingabout the relationship between two lines.
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Rectangles are made up of 2 sets of parallel lines, which are perpendicular to one another.
true
Parallel lines are lines that run side by side and never meet. Perpendicular lines are lines that meet in one point, forming four right angles around the point.
Rays pass through one point. Parallel lines never meet.
Construction, engineering, drawing, and architecture all use parallel and perpendicular lines. Other than that, it is an important topic because you are learning how to apply the language and tools of mathematics to an intuitive system. These topics have proven important in the history of human kind and also many before you have shown that by learning about parallel and perpendicular lines, one learns how to use math and logic. It is doubtful that you can make a living off of parallel and perpendicular lines, but if you can't understand parallel and perpendicular lines, then I worry about your future.