Question

prove that two lines perpendicular to the same line are parallel to each other.​

Answer 1

Answer:

perpendicular lines mean one line cuts through another line and forms 90 degree angles. if two lines were to cut through the same line, then both lines would have to be parallel to each other considering the definition of perpendicular lines. for example in the picture both lines are completely horizontal making them form 90 degree angles. if these lines did not form 90 degree angles then they would not be perpendicular and at some point would cross paths. however they are straight meaning they will never touch, hence the parallel line definition.

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