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deff fn [24]
3 years ago
15

Which of the following are among the five basic postulates of euclidean geometry? check all that apply

Mathematics
2 answers:
scoray [572]3 years ago
7 0

Answer with explanation:

Postulates or Axioms are universal truth statement , whereas theorem requires proof.

Out of four options given ,the following are basic postulates of euclidean geometry:

Option C: A straight line segment can be drawn between any two points.

   →To draw a straight line segment either in space or in two dimensional plane you need only two points to determine a unique line segment.

Option D: any straight line segment can be extended indefinitely

 →Yes ,a  line segment has two end points, and  you can extend it from any side to obtain a line or new line segment.

We need other geometrical instruments , apart from straightedge and compass  to create any figure like, Protractor, Set Squares.

So, Option A is not Euclid Statement.

Option B , is a theorem,which is the angles of a triangle always add up to 180 degrees,not a Euclid axiom.

→Option C, and Option D

PilotLPTM [1.2K]3 years ago
5 0
The answers are c and d 

a straight line segment can be drawn between any two points 


any straight line segment can be extended indefinitely 
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Given the two vertices and the centroids of a triangle, how many possible locations are there for the third vertex?
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