axioms or postulates
Neither true nor false. Some theorems can be proven using geometric arguments and methods, others cannot.
True
Law of Detachment
A direct proof in geometry is a proof where you begin with a true hypothesis and prove that a conclusion is true.
True
we use various theorems and laws to prove certain geometric statements are true
axioms or postulates
Neither true nor false. Some theorems can be proven using geometric arguments and methods, others cannot.
true
True. Points are geometric objects with no dimensions.
True
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
The verb "to postulate" means to assert a claim as true, with or without proof. Geometric "postulates" are basic axioms that are given or assumed in order to establish the framework of geometric relationships. An example is Postulate 1 which defines point, line, and distance as unique conditions.
False
In a geometric setting, the inscribed mean (IMA) is always less than or equal to the circumscribed mean (AMA) due to the inequality in a geometric progression ((a \geq g \geq h)). However, in other contexts or disciplines, this relationship may not always hold true.
The answer is actually false Geometric shapes have definite shapes and the definition of amorphous is to be shapless