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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 are among the five basic postulates of Euclidean Geomerty?
Among the five basic postulates of Euclidean geometry, the first states that a straight line can be drawn between any two points. The second postulate asserts that a finite straight line can be extended indefinitely in both directions. The third postulate specifies that a circle can be drawn with any center and radius. Lastly, the fifth postulate, often called the parallel postulate, states that if a line intersects two other lines and forms two interior angles on the same side that are less than two right angles, the two lines will eventually meet on that side when extended.
What is a basic assumption that is accepted without proof?
A postulate.
What five tools allowed the Greeks to use the five basic postulates of euclidean geometry?
The five tools that enabled the Greeks to utilize the five basic postulates of Euclidean geometry are the straightedge, compass, ruler, protractor, and a set square. The straightedge was used for drawing straight lines, while the compass allowed for the construction of circles and arcs. The ruler helped measure lengths, and the protractor was essential for measuring angles. The set square facilitated the construction of right angles and parallel lines, supporting the geometric principles established by Euclid.
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.
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
Which basic shape has 3 sides and 3 corners?
The basic shape with 3 sides and 3 corners is called a triangle. A triangle is a polygon with three straight sides and three angles. It is the simplest polygon in Euclidean geometry.
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.)
