Which best describes the dimensions of a line?

A.) A line has zero dimensions because it represents a location on the coordinate plane.
B.) A line has one dimension because it is made up of all points that extend infinitely in either direction.
C.)A line has two dimensions because it is made up of three noncollinear points.
D.)A line has multiple dimensions depending on how many labeled points it contains.

Question

08-08-2016
Mathematics

Answered

Which best describes the dimensions of a line?

A.) A line has zero dimensions because it represents a location on the coordinate plane.
B.) A line has one dimension because it is made up of all points that extend infinitely in either direction.
C.)A line has two dimensions because it is made up of three noncollinear points.
D.)A line has multiple dimensions depending on how many labeled points it contains.

Verified Answer :

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Kalahira Kalahira · Answer 1 · 2017-04-18T16:34:19-04:00

The correct answer is B) One dimension. A point, not a line, has no dimension (A: A line has zero dimensions because it represents a location on the coordinate plane), shapes or a plane, not a line, have two dimensions (C:A line has two dimensions because it is made up of three noncollinear points), space itself can have 3, 4 or more dimensions, and again, not a line (D:A line has multiple dimensions depending on how many labeled points it contains.).

snehapa snehapa · Answer 2 · 2020-01-12T06:53:53-05:00

The correct option is \(\boxed{{\mathbf{Option B}}}\) .

Further explanation:

A line is straight one dimensional figure that can be extended from both the ends whereas the line with fixed both end is called line segment.

Step by step explanation:

Now we have to choose the right options among the given option.

Step 1:

Option A: A line has zero dimensional because it represents a location on the coordinate plane.

A line cannot be zero dimensions.

A point has not dimension as it represents a location on the coordinate plane.

Thus, option A is not correct.

Step 2:

Option B: A line has one dimension because it is made up of all points that extend infinitely in either direction.

A line is straight one dimensional figure that can be extended from both the ends.

Thus, option B is correct.

Step 3:

Option C: A line has two dimensions because it is made up of three non collinear points.

As it has been proved that a line has one dimension.

The two dimensional figures are called shapes such as circle, square, rectangle.

Thus, option C is not correct.

Step 4:

Option D: A line has multiple dimensions depending on how many labeled points it contains.

As it has been proved that a line has one dimension.

The multiple dimensional figures are in the spaces.

Thus, option D is not correct.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Dimensions of figures

Keywords: Dimension, non collinear points, multiple, line, points, shapes, infinite, extend, non collinear points, extended, location, coordinate plane, fixed end.