5
QuizMultiple Choice

Euclidean Geometry — Quiz

Question 5 • Geometry: Concepts and Connections

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

Answer
A
A line has length and width.
B
A distance along a line must have no beginning or end.
C
A point has one dimension, length.
D
A plane consists of an infinite set of points.
E
A point’s location on the coordinate plane is indicated by an ordered pair, open paren x comma y close paren .

Explanation

A plane contains infinitely many points, so statement A is true. A point has no dimensions, and a line extends endlessly in both directions but has length only—not width—so B, C, and D are false. On a coordinate plane, an ordered pair (x, y) identifies a point’s location, making statement E true.

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