The undefined notions of point, line, distance along a line, and distance around an arc serve as the foundational building blocks of geometry. They allow for the construction and examination of various figures and shapes, enabling the formulation of concepts and relationships valuable in the discipline. By relying on these basic elements, mathematicians can identify patterns in geometric figures, formulate theorems, and develop proofs that deepen our understanding of geometric properties and relationships. Thus, these undefined notions are integral to the structure and development of geometric reasoning.
How are the undefined notions of point, line, distance along a line, and distance around an arc used in geometry? (1 point) Responses They are used to find patterns in figures that can be used to create theorems about shapes. They are used to find patterns in figures that can be used to create theorems about shapes. They are used to examine constructed figures to create theorems that are used in proofs. They are used to examine constructed figures to create theorems that are used in proofs. They are used to structure theorems that can be used to prove things about shapes and figures. They are used to structure theorems that can be used to prove things about shapes and figures. They are used as the building blocks of geometry and allow various figures and shapes to be constructed and examin
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