Point is not an undefined term. It can be defined as a mathematically precise location, or as the place where two lines intersect.
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a point
A point.
A point.
Point
There are typically three words in geometry that are undefined. The first is "point." A point has no dimension, length, width, or thickness. The second is "line." A line has no thickness and goes on indefinitely in both directions. The third undefined term is "plane." A plane has no thickness and has no boundaries.