## which of the following are among the five basic postulates of euclidean geometry? check all that apply a. a straightedge and co

Question

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

a. a straightedge and compass can be used to create any figure.

b. the angles of a triangle always add up to 180 degrees

c. a straight line segment can be drawn between any two points

d. any straight line segment can be extended indefinitely

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2022-04-29T21:08:09+00:00
2022-04-29T21:08:09+00:00 2 Answers
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## Answers ( 2 )

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.u2192To 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 indefinitelyu2192Yes ,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.

u2192Option C, and Option Dthe answers are c and d

a straight line segment can be drawn between any two points

any straight line segment can be extended indefinitely