Easy
State whether the following statement is true or false:
Two distinct lines cannot have more than one point in common.
Two distinct lines cannot have more than one point in common.
(TRUE) The statement is True.
According to Euclid's axioms and the fundamental properties of Euclidean geometry,two distinct lines can intersect at most at one point. If they were to share more than one point,they would coincide and become the same line,which contradicts the premise that the lines are distinct.
According to Euclid's axioms and the fundamental properties of Euclidean geometry,two distinct lines can intersect at most at one point. If they were to share more than one point,they would coincide and become the same line,which contradicts the premise that the lines are distinct.
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