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# Two intersecting lines cannot be parallel to the same line’ is stated in the form of:A) An axiomB) A definitionC) A postulateD) A proof

Last updated date: 20th Jun 2024
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Hint:
We know about the meaning of parallel lines; parallel lines means the line which cannot intersect to each other, if both the lines are in a plane. If two lines are the intersecting lines it means the lines never are parallel to each other in a plane.

Complete step by step solution:
Two intersecting lines cannot be parallel to the same line. For example, we draw three lines like P, Q, and R which is given below:

From the above figure we see that the line P and line Q are intersecting and line R is parallel to line Q but the line Q is not parallel to line P. intersecting lines means that the one solution. Therefore, intersecting lines never parallel to the same line. Here the given statement, two intersecting lines cannot be parallel to the same line is true and which is defined by an axiom word.

Hence, the option (A) is correct.