Technically they don't because the definition of a point is a specific place of a certain object in a graph, and you could keep cutting up the point infinity times and still not have the most exact location as possible. Thus, a point can be any shape, but for a point there will never be an exact location or a definite size or shape. Most points in geometry are little circles such as on a line graph, but a point could be a square. A point is just the most exact location of something in a geometry problem. That's all it is.
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It is the study of shape and distance. Usually you begin with points, lines and areas.
In coordinated geometry the points on a straight line will determine its equation.
I am a geometric solid with one face that is curved. My surface is equally distant from my center at all points. What am I?
To construct a shape in geometry is to draw a shape on paper using drawing instruments.
a kite is a shape in geometry, and math. it resembles a rhombus, a diamond like shape used in math and geometry.