Respuesta :
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.).
The correct option is [tex]\boxed{{\mathbf{Option B}}}[/tex] .
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.
