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Question
Two distinct intersecting lines cannot be parallel to the same line.
Options
True
False
MCQ
True or False
Solution
This statement is True.
Explanation:
Since, it is an equivalent version of Euclid’s fifth postulate.
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How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?
Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
Euclidean geometry is valid only for curved surfaces.
Study the following statement:
“Two intersecting lines cannot be perpendicular to the same line”.
Check whether it is an equivalent version to the Euclid’s fifth postulate.
[Hint: Identify the two intersecting lines l and m and the line n in the above statement.]