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- A straight line segment can be drawn by joining any two points.
- A straight line segment can be extended indefinitely in a straight line.
- Given a straight line segment, a circle can be drawn using the segment as radius and one endpoint as center.
- All right angles are congruent.
- 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, then the two lines inevitably must intersect each other on that side if extended far enough.
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Earn +20 ptsQ: What are Euclid's 5 postulates?
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What is euclids theory?
need a simple explanation of Euclids theory.
Title of thirteenth book in euclids elements?
compositions
Why is it necessary to use postulates in geometry?
Postulates are statements that prove a fact. An example would be that 2 points create a line segment. You usually use postulates in proofs.
Are postulates accepted as true without proof?
Yes, postulates are "given", as the bases for the construction of the system.
Do postulates need to be proven?
No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.
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