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Can the sum of the angles of a triangle exceed 180 degrees?
In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.
What is a basic assumption that is accepted without proof?
A postulate.
Who figured out he basic laws of geometry?
Geometry, unlike science, doesn't really have laws, it has theorems, and many different mathematicians contributed to the creation of the basic theorems of geometry. Perhaps the best known is Pythagoras.
What Basic concepts or undefying in geometry?
undefying end!
What are the 3 basic of geometry?
plane,line and points
Is a theorem a statement that describes a fundemental relationship between the basic terms of geometry?
no, its a postulate
Can the sum of the angles of a triangle exceed 180 degrees?
In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.
What tools allowed the Greeks to exploit the five basic postulates of Euclidean geometry?
compass and straightedge
What is an undefined term in geometry?
It is a very basic concept which cannot be defined. Undefined terms are used to define other concepts. In Euclidean geometry, for example, point, line and plane are not defined.
What is a statement that describes a fundamental relationship between the basic terms of geometry?
an equation
What is a basic assumption that is accepted without proof?
A postulate.
Can you move from basic algebra to geometry?
Yes, you can move from basic Algebra to Geometry, but only upon recommendation from your teacher.
Who developed basic geometry?
Euclid
How do you perform a basic construction for geometry?
The answer depends on what the requirements for the basic construction are.
Who figured out he basic laws of geometry?
Geometry, unlike science, doesn't really have laws, it has theorems, and many different mathematicians contributed to the creation of the basic theorems of geometry. Perhaps the best known is Pythagoras.
What are the five basic postulates of euclidean?
The five basic postulates of Geometry, also referred to as Euclid's postulates are the following: 1.) A straight line segment can be drawn joining any two points. 2.) Any straight line segment can be extended indefinitely in a straight line. 3.) Given any straight line segment, a circle can be drawn having the segment as a radius and one endpoint as the center. 4.) All right angles are congruent. 5.) If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles (or 180 degrees), then the two lines inevitably must intersect each other on that side if extended far enough. (This postulate is equivalent to what is known as the parallel postulate.)
What is a postulate?
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.
