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What would serve as a counter example to the statement Two planes intersect in exactly one line?
Wiki User
∙ 13y ago
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
Wiki User
∙ 13y ago
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What is the if-then form of A counter example invalidates a statement?
You figure it out!
Why is true that the diagonals of a pentagon intersect on an one vertex?
There is no reason because the statement for which you are seeking a reason is patently FALSE. Consider a pentagram, for example.
What does counter example mean in math terms?
It is an example that demonstrates, by its very existence, that an assertion is false. Usually experience suggests that the assertion is true: there is a large amount of supporting "evidence" but the statement has not been proven. The counter-example, though demolishes the assertion For example: Assertion: all prime numbers are odd. Counter example: 2. It is a prime but it is not odd. Therefore the assertion is false. This was a favourite "trap" at GCSE exams in the UK. Assertion: if you divide a nuber it becomes smaller. Counter example 1: 2 divided by a half is, in fact, 4. Counter example 2: -10 divided by 2 is -5 (which is larger by being less negative).
What angles do not intersect and are coplanar?
Angles that are separated by a distance. For example, any two angles of any polygon do not intersect and they are coplanar.
What kind of statement is a conjecture?
A conjecture is a statement that is believed to be true, but has yet to be proven. Conjectures can often be disproven by a counter example and are then referred to as false conjectures.
What is a counterexample of All rectangles have two lines of symmetry?
Since the statement does not say that they have exactly two lines of symmetry, I do not believe that there is a counter example.
An example that proves that a conjecture or statement is false?
Counter-example
What is the if-then form of A counter example invalidates a statement?
You figure it out!
Does every statement have a counter example?
Only some statements have both examples and counter examples. A sufficiently clear and unambiguous statement would not have counter examples.
What is a statement that shows conjecture is false?
A counter example is a statement that shows conjecture is false.
An example used to show that a given statement is not always true?
counter example
Why is true that the diagonals of a pentagon intersect on an one vertex?
There is no reason because the statement for which you are seeking a reason is patently FALSE. Consider a pentagram, for example.
What is counter example?
A counter example is a proof of a negation of a universal statement.A statement of the form "all X are Y" (e.g. all men are mortal), can be disproved by providing a counter example (here: something (someone) which is both a man and immortal).A more mathematical example of the use of a counter example could be to disprove the statement "the product of two prime numbers is odd". This is a claim about all numbers which are the product of two prime numbers (all elements in the set {n in N | n = p*q where p and q are prime numbers}). This set contains infinitely many pair numbers, but a single example (or witness), is enough to disprove the statement. Four is such a number and can serve as a counter example.
One way to show that a statement is NOT a good definition is to find a?
to find a counterexample
All quadrilaterals with 4 right angles are squares. Which shape is a counter example to this statement?
A rectangle with dimensions of 1" x 2" .
Is any two lines lie in exactly one plane?
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
What does counter example mean in math terms?
It is an example that demonstrates, by its very existence, that an assertion is false. Usually experience suggests that the assertion is true: there is a large amount of supporting "evidence" but the statement has not been proven. The counter-example, though demolishes the assertion For example: Assertion: all prime numbers are odd. Counter example: 2. It is a prime but it is not odd. Therefore the assertion is false. This was a favourite "trap" at GCSE exams in the UK. Assertion: if you divide a nuber it becomes smaller. Counter example 1: 2 divided by a half is, in fact, 4. Counter example 2: -10 divided by 2 is -5 (which is larger by being less negative).
