Question
Which statements are true regarding undefinable terms in geometry? Select two options.
A point’s location on the coordinate plane is indicated by an ordered pair, (x, y).
A point has one dimension, length.
A line has length and width.
A distance along a line must have no beginning or end.
A plane consists of an infinite set of points.
A point’s location on the coordinate plane is indicated by an ordered pair, (x, y).
A point has one dimension, length.
A line has length and width.
A distance along a line must have no beginning or end.
A plane consists of an infinite set of points.
Answers
GPT-4o mini
In geometry, undefinable terms are the basic concepts that cannot be defined using other terms. The true statements regarding undefinable terms in geometry from the options provided are:
1. **A point has one dimension, length.** - This statement is **false**. A point has no dimensions; it is dimensionless.
2. **A line has length and width.** - This statement is **false**. A line is one-dimensional and has length but no width.
3. **A distance along a line must have no beginning or end.** - This statement is **true** in concept. A line extends infinitely in both directions.
4. **A plane consists of an infinite set of points.** - This statement is also **true** as a plane has no endpoints and is defined by an infinite number of points.
Therefore, the correct true statements regarding undefinable terms in geometry are:
- **A distance along a line must have no beginning or end.**
- **A plane consists of an infinite set of points.**
1. **A point has one dimension, length.** - This statement is **false**. A point has no dimensions; it is dimensionless.
2. **A line has length and width.** - This statement is **false**. A line is one-dimensional and has length but no width.
3. **A distance along a line must have no beginning or end.** - This statement is **true** in concept. A line extends infinitely in both directions.
4. **A plane consists of an infinite set of points.** - This statement is also **true** as a plane has no endpoints and is defined by an infinite number of points.
Therefore, the correct true statements regarding undefinable terms in geometry are:
- **A distance along a line must have no beginning or end.**
- **A plane consists of an infinite set of points.**