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Euclidean Geometry

Question 1 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

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.

Answer
A
A point has no length or width.
B
A point indicates a location in a coordinate plane.
C
A plane has one dimension, length.
D
A line has a definite beginning and end.
E
A plane consists of an infinite set of lines.
F
A line consists of an infinite set of points.

Explanation

A point represents a location and has no length or width. A plane is a flat, two-dimensional surface, so it contains infinitely many lines; a line, in turn, contains infinitely many points. The statement that a plane has only one dimension is false, and a line extends infinitely in both directions rather than having a definite beginning and end.

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