Question

which statements are true regarding undefinable terms in geometry? check all that apply.
a point has no length or width.
a point indicates a location in a coordinate plane.
a plane has one dimension, length.
a line has a definite beginning and end.
a plane consists of an infinite set of lines.
a line consists of an infinite set of points.

Explanation:

1. Analyze "A point has no length or width": A point in geometry is an undefined term with no dimensions (length, width, or height), so this is true.
2. Analyze "A point indicates a location in a coordinate plane": A point is used to represent a specific location in a coordinate plane (or in space), so this is true.
3. Analyze "A plane has one dimension, length": A plane is a two - dimensional undefined term (it has length and width), so this is false.
4. Analyze "A line has a definite beginning and end": A line (in the geometric sense of a straight line) is infinite in both directions, it has no definite beginning or end. A line segment has a beginning and end, but a line does not, so this is false.
5. Analyze "A plane consists of an infinite set of lines": A plane can be thought of as containing an infinite number of lines (since we can draw infinitely many lines on a plane), so this is true.
6. Analyze "A line consists of an infinite set of points": A line is made up of infinitely many points, as between any two points on a line, there are infinitely many other points, so this is true.

Answer:

A. A point has no length or width
B. A point indicates a location in a coordinate plane
E. A plane consists of an infinite set of lines
F. A line consists of an infinite set of points