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 2 Answers 0

Answers ( 2 )

  1. Ella
    0
    2022-04-29T21:09:30+00:00

    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 indefinitely

    u2192Yes ,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 D

  2. Ariana
    0
    2022-04-29T21:09:46+00:00

    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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