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7. which of the following is not one of euclid’s postulates? all right …

Question

  1. which of the following is not one of euclid’s postulates? all right angles are congruent. all complementary angles form a right angle. a circle may be described with any given point as its center and any distance as its radius. a straight line may be drawn from any given point to any other.

Explanation:

Brief Explanations
  1. Recall Euclid's postulates:
  • Postulate 1: A straight line may be drawn from any given point to any other.
  • Postulate 3: A circle may be described with any given point as its center and any distance as its radius.
  • The statement "All right angles are congruent" is also a postulate (sometimes considered a postulate or a common notion in some interpretations).
  • The statement "All complementary angles form a right angle" is not a Euclid's postulate. Complementary angles are two angles whose sum is 90 degrees, but this is a definition - related concept, not a postulate of Euclid.

Answer:

B. All complementary angles form a right angle.