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Which of the following is not a postulate of Euclidean geometry? A. A circle can be drawn with any center and any radius. B. Given a square, a square with double the area can be constructed. C. All right angles are equal. D. A straight line segment can be drawn between any two points.

2 Answers

7 votes

Answer:

B :)

Explanation:

User Nathan Hagen
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Answer: B. Given a square, a square with double the area can be constructed. C. All right angles are equal.

Explanation:

Euclidean geometry postulates are as follows:

  • A straight line segment may be drawn from any given point to any other.
  • A straight line may be extended to any finite length.
  • A circle may be described with any given point as its center and any distance as its radius.
  • All right angles are congruent.
  • If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.

Hence, B is not a Euclidean geometry postulate.

User JMI
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