Final Answer:
A point has no length or width and a point indicates a location in a coordinate plane are true statements regarding undefinable terms in geometry. Thus the correct option is (a).
Step-by-step explanation:
In geometry, undefinable terms, such as "point," "line," and "plane," serve as fundamental concepts that are accepted without formal definitions. A point, by definition, is considered dimensionless and has no length, width, or depth, making statement (1) accurate. Additionally, a point represents a precise location in a coordinate plane or space, aligning with statement (2). However, statements (3) and (4) are inaccurate regarding the nature of planes and lines.
Statement (3) suggesting that a plane has only one dimension, namely length, is incorrect. A plane is a two-dimensional surface that extends indefinitely in length and width, devoid of depth. Contrarily, statement (4) stating that a line has a definite beginning and end is also inaccurate. A line in geometry is a one-dimensional structure extending infinitely in two directions, lacking endpoints.
Understanding the nature of these fundamental geometric terms is pivotal in grasping their properties and characteristics within the context of geometry. While points signify dimensionless locations, lines extend indefinitely in one direction, and planes extend infinitely in two dimensions. Recognizing these foundational concepts aids in comprehending geometric principles and relationships. Therefore, statements (1) and (2) accurately describe the attributes of undefinable terms like points in geometry, whereas statements (3) and (4) misrepresent the nature of planes and lines. Thus the correct option is (a).