To determine the correct answers about undefinable terms in geometry, let's analyze each statement given:
1. A distance along a line must have no beginning or end.
- This is not true. A distance typically has defined starting and ending points. A line, ideally, extends infinitely in both directions, but a distance refers to a specific segment of a line.
2. A line has length and width.
- This is incorrect. In geometry, a line is defined as a one-dimensional figure that has length but no width.
3. A point's location on the coordinate plane is indicated by an ordered pair, [tex]\((x, y)\)[/tex].
- This is correct. In the coordinate plane, a point's position is indeed specified using an ordered pair, [tex]\((x, y)\)[/tex].
4. A point has one dimension, length.
- This is incorrect. A point is an undefined term in geometry that represents a location and it has no dimensions: no length, no width, and no height.
5. A plane consists of an infinite set of points.
- This is correct. A plane is a flat, two-dimensional surface that extends infinitely in all directions, and it is considered to be composed of an infinite number of points.
The two statements that are true are:
- A point's location on the coordinate plane is indicated by an ordered pair, [tex]\((x, y)\)[/tex].
- A plane consists of an infinite set of points.
