7
QuizMultiple Choice

Euclidean Geometry — Quiz

Question 7 • Geometry: Concepts and Connections

Which statements are true regarding undefinable terms in geometry? Choose two correct answers.

Answer
A
A point in the form open paren x comma y close paren has two dimensions.
B
A point consists of an infinite set of lines.
C
A plane consists of an infinite set of lines.
D
A plane has a definite beginning and end.
E
A line has one dimension, length.

Explanation

A line is one-dimensional: it has length but no width or thickness. A plane is two-dimensional and can be viewed as containing infinitely many lines. A point itself has no dimensions, so writing its location as (x, y) does not make the point two-dimensional.

AI-written and checked against the verified answer.

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