Answer:
The undefined terms in geometry are fundamental concepts that are not formally defined because they are considered to be intuitive and self-explanatory. These terms serve as the building blocks for defining other geometric concepts.
Step-by-step explanation:
Out of the options provided, the undefined terms are:
1. point
2. plane
Let's explore each term in more detail:
1. A point is a location in space that has no size or dimension. It is often represented by a dot. Points are used to define other geometric figures such as lines and shapes.
2. A plane is a flat, two-dimensional surface that extends infinitely in all directions. It has no thickness and is defined by three non-collinear points or by a line and a point not on the line. A plane can be thought of as a "tabletop" or a "wall" in space.
On the other hand, angles and segments are not undefined terms. They are well-defined geometric concepts.
3. An angle is formed by two rays with a common endpoint, called the vertex. Angles are measured in degrees or radians and can be classified as acute, right, obtuse, straight, or reflex.
4. A segment is a part of a line that is bounded by two distinct endpoints. It is finite in length and has no thickness.
In summary, the undefined terms in geometry are point and plane. These terms are considered intuitive and do not require formal definitions as they serve as the foundational concepts for other geometric concepts. Angles and segments, on the other hand, are defined geometric concepts.
