If two distinct lines intersect, then they intersect in exactly one point.
Statement: If two distinct lines intersect, then they intersect in exactly one point
Statement: If two distinct lines intersect, then they intersect in exactly one point.
Explanation:
This statement is a fundamental concept in Euclidean geometry. In a Euclidean plane, which is the standard geometry we are familiar with, two distinct lines will always intersect at exactly one point unless they are parallel. The statement can be further elaborated as follows:
1. Distinct lines: Lines are considered distinct if they are not the same line and do not coincide. In other words, they are not parallel or overlapping.
2. Intersection: When two lines intersect, they cross or meet at a common point. This point is called the point of intersection.
3. Exactly one point: This means that there is only one point where the two lines meet. It is important to note that if two lines are parallel, they will never intersect, so the statement does not apply in that case.
Euclidean geometry relies on the assumption of this statement, and many geometric proofs and theorems are built upon it. It is a basic property of lines in Euclidean space.
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