Respuesta :
The true statements about terms in geometry that are undefinable are;
- A point has no length or width
- A point indicates a location on the coordinate plane
- A line consists of an infinite set of points.
- A plane consists of an infinite set of points.
How can the true statements be found?
Three undefinable terms in geometry are;
1) Point
2) Line
3) Plane
The above terms do not have a formal definition but they can be described based on their properties.
The other geometric terms are defined based on the above undefinable terms.
A point can be described as a location in space that is dimensionless and can be specified on the coordinate plane as an ordered pairs (x, y).
True statements about a point are therefore;
- A point has no length or width
- A point indicates a location on the coordinate plane
A line is infinitely long, that has no beginning or end. It has one dimension, with no thickness or height.
Given that a point is dimensionless, a line can be considered a set of points.
A true statement is therefore;
- A line consists of an infinite set of points.
A plane is a two dimensional geometric figure that have infinite length and width.
An infinite set of lines that forms a two dimensional figure can be used to describe a plane.
The true statement with regards to a plane is therefore;
- A plane consists of an infinite set of points.
Learn more about undefinable terms in geometry here:
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