True.
It's true that a point has no dimensions. But a line has one dimension, not two. A plane has two dimensions, a solid has three, and that's about all that ordinary people can visualize.
Point, zero; line, one: length but no width
Yes.
Anything that has two dimensions and is completely closed is a shape (as opposed to a line which as one dimension, or a point which has zero). A property of these shapes will be that they all have length and height with which area can be calculated.
A line is a series of points extending infinitely in opposite directions. Because a single point has no dimension we get only one dimension when we line the points up.
It's true that a point has no dimensions. But a line has one dimension, not two. A plane has two dimensions, a solid has three, and that's about all that ordinary people can visualize.
Plane. A point has no dimension, a line has one dimension, and a plane has two dimensions.
A one-dimensional shape is a line. A straight line does not have to have a width, only a length. A curved line has both a linear dimension and an angular width (subtended arc).*A point is said to have zero of three classical dimensions, while it does have a dimension of time.
false
Point, zero; line, one: length but no width
A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
A zero-dimensional object cannot move along any dimension, so it (and everything else in this dimension) appears as one incredibly tiny speck. A point is zero-dimensional. A one-dimensional object is a step up from a zero-dimensional one, since objects can move in only in one direction, and objects appear along an impossibly narrow line. These include the line, ray, and segment.
Yes.
Anything that has two dimensions and is completely closed is a shape (as opposed to a line which as one dimension, or a point which has zero). A property of these shapes will be that they all have length and height with which area can be calculated.
A line is a series of points extending infinitely in opposite directions. Because a single point has no dimension we get only one dimension when we line the points up.
No; points are dimensionless, having neither height nor width nor breadth. Points mark specific locations, but they take up no space in any location. Euclid, the founder of geometry, defines a point as 'that which has no part' because only things with at least one dimension can be divided into parts.
Line, Ray and segment