A true statement about points is that they are fundamental elements in geometry that have no dimensions—no length, width, or height. Points are typically represented by a dot and are often labeled with capital letters. They serve as the basic building blocks for more complex geometric shapes, such as lines and planes. In a coordinate system, points can be defined by their position using coordinates, such as (x, y) in a two-dimensional space.
true
This is a true statement. Points do not have dimensions like a length or a width. A point only has a location in space.
false
If a statement is true, then its negation is false. The negation of a statement is essentially the opposite of that statement; it asserts that the original statement is not true. Therefore, if the original statement holds true, the negation cannot hold true simultaneously.
In computing, this is an AND statement.
true
true
true
graph
This is a true statement. Points do not have dimensions like a length or a width. A point only has a location in space.
false
True
If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."
Circular logic would be a statement or series of statements that are true because of another statement, which is true because of the first. For example, statement A is true because statement B is true. Statement B is true because statement A is true
If a statement is true, then its negation is false. The negation of a statement is essentially the opposite of that statement; it asserts that the original statement is not true. Therefore, if the original statement holds true, the negation cannot hold true simultaneously.
Coplanarity is equivalent to the statement that the pair of lines determined by the four points are not skew, and can be equivalently stated in vector form as
In computing, this is an AND statement.