Axiomatic Structures

5. These are statements accepted after proven deductively.
8. is a part of a line that has one endpoint and goes on infinitely in one direction.
11. is a triangle with at least two congruent sides.
12. A flat surface where infinite numbers of lines can lie.
13. an angle with a measure greater than 0° but less than 90°. right is an angle with a measure of 90° .
14. is a triangle with all sides congruent. axiom defined as a logical statement accepted to be true without proof.
16. lines that intersect to form a right angle.
18. System possesses an explicitly stated set of axioms from which theorems can be derived.
20. Two angles are _____ if and only if their measures are equal.
21. is a triangle with no congruent sides.

1. is an angle with a measure greater than 90° but less than 180°.
2. is a closed figure such that the union of three or more coplanar segments.
3. When points are on the same plane, they are called ____.
4. Opposite angles formed by two intersecting lines are _____ angles.
6. when the sum of their angles is 180°.
7. It is always straight that extends indefinitely in two opposite directions.
9. if the lines containing the sides of the polygon do not contain points in its interior. regular is a polygon that is both equilateral and equiangular. triangle a three-sided polygon. Median a midpoint or center.
10. When points are on the same line, they are called _____.
15. share a common vertex and a common side, but do not overlap.
17. no length, no width, and no thickness.
19. is the union of two noncollinear rays with a common endpoint.