Question

question 13 of 25
which of the following is not a postulate of euclidean geometry?
a. all equilateral triangles have interior angles equal to 60 degrees.
b. a straight line segment can be drawn between any two points.
c. through a given point not on a given line, there is exactly one line parallel to the given line.
d. a circle can be drawn with any center and radius.

Explanation:

Euclidean geometry postulates include basic construction rules (like drawing line segments, circles, and parallel - line existence). The property of equilateral triangles having 60 - degree interior angles is a theorem (derived result), not a postulate. Postulates are assumed truths without proof, while theorems are proven from postulates.

Answer:

A. All equilateral triangles have interior angles equal to 60 degrees.