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Unit 1: Foundations of Geometry Vocabulary 1. Acute angle: An angle with measures between 0° and 90°. 2. Adjacent angles: Two angles that share a common vertex and side, but have no common interior points. 3. Angle: Consists of two different rays with the same endpoint. The rays are the sides of the angle, and the endpoint is the vertex of the angle. 4. Between: When three points lie on a line, you cans say that one point is between the other two. 5. Bisector of a segment: A point, ray, line, segment, or plane that intersects a segment at its midpoint. 6. Bisector of an angle: A ray that divides an angle into two angles that are congruent. 7. Collinear points: Points that lie on the same line. 8. Complementary angles: Two angles whose measures have the sum of 90°. The sum of the measures of an angle and its complement is 90°. 9. Congruent angles: Angles that have the same measure. 10. Coplanar: Lie on the same plane. 11. Defined terms: Terms that can be described using known words. 12. Degree measure: Angle measurement on a protractor numbered 0 to 180. 13. Distance: The absolute value of the difference of the coordinates of two points. 14. Euclidean geometry: Study of geometry based on undefined terms (point, line, plane), definitions, postulates (axioms), and assumptions of the mathematician Euclid. 15. Exterior of an angle: Outside the two rays that form an angle. 16. Interior of an angle: Inside the two rays that form an angle. 17. Intersection: The set of points that two or more geometric figures have in common. 18. Length: The straight distance from one point to another. 19. Line: A line has one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions. 20. Line segment: Part of a line that consists of two points, called endpoints, and all points on the line that are between the endpoints. 21. Linear pair of angles: Two adjacent angles whose noncommon sides are opposite rays. 22. Non-collinear: Not on the same line. 23. Non-coplanar: Not in the same plane. 24. Non-Euclidean geometry: Forms of geometry that contain a postulate that negate the Euclidean parallel postulate. 25. Obtuse angle: An angle with measure between 90° and 180°. 26. Parallel lines: Two lines that do not intersect and are coplanar. 27. Perpendicular lines: Two lines that intersect to form a right angle. 28. Plane: a plane has two dimensions. It is usually represented by a shape that looks like a floor or a wall. You must imagine that the plane extends without end, even though the drawing of a plane appears to have edges. 29. Point: A point has no dimension. It is usually represented by a dot. 30. Postulate: A rule that is accepted without proof. 31. Ray: Part of a line that consists of a point called an endpoint and all points on the line that extend in one direction. 32. Right angle: An angle with measure equal to 90°. 33. Skew lines: Lines that do not intersect and are not coplanar. 34. Space: Set of all points, boundless and three-dimensional. 35. Straight angle: An angle with measure equal to 180°. 36. Supplementary angles: Two angles whose measures have the sum of 180°. 37. Taxicab geometry: A non-Euclidean geometry in which all lines are horizontal or vertical. 38. Theorem: A true statement that follows as a result of other true statements. 39. Undefined term: A word that does not have a formal definition, but there is agreement about what the word means. 40. Vertex of an angle: The point where the two rays meet. 41. Vertical angles: Two angles whose sides form two pairs of opposite rays.