Question
Which statements are true regarding undefinable terms in geometry? Select two options.
A point in the form (x, y) has two dimensions.
A plane has a definite beginning and end.
A line has one dimension, length.
A point consists of an infinite set of lines.
A plane consists of an infinite set of lines.
A point in the form (x, y) has two dimensions.
A plane has a definite beginning and end.
A line has one dimension, length.
A point consists of an infinite set of lines.
A plane consists of an infinite set of lines.
Answers
GPT-4o mini
The true statements regarding undefinable terms in geometry are:
1. **A line has one dimension, length.** - This statement is true, as a line is considered to have length but no width or height, thus it is one-dimensional.
2. **A plane consists of an infinite set of lines.** - This statement is also true. A plane can be thought of as a flat surface that extends infinitely in two dimensions and can be described as being made up of an infinite number of lines.
The other statements are not true regarding the definitions typically used in geometry.
1. **A line has one dimension, length.** - This statement is true, as a line is considered to have length but no width or height, thus it is one-dimensional.
2. **A plane consists of an infinite set of lines.** - This statement is also true. A plane can be thought of as a flat surface that extends infinitely in two dimensions and can be described as being made up of an infinite number of lines.
The other statements are not true regarding the definitions typically used in geometry.