geometry crossword alex hartzell 4

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Across
  1. 2. Proving a conjecture by assuming that the conjecture is false. If this assumption leads to a contradiction, the original conjecture must have been true. This technique employs the logical method known as modus tolens.
  2. 6. being or operating in the same plane
  3. 7. An angle that has measure more than 90° and less than 180°.
  4. 8. Lines in three dimensional space that do not intersect and are not parallel.
  5. 10. something that is constructed a structure
  6. 13. An angle whose measure is between 0° and 90° Compare obtuse angle
  7. 14. in the space separating two points objects
  8. 17. 4 maths logic mutually exclusive and exhaustive, each being the complement of the other
  9. 18. a continuous extent of length straight or curved without breadth or thickness the trace of a moving point
  10. 19. the space within two lines or three or more planes diverging from a common point or within two planes diverging from a common line
  11. 21. a polygon such that there is a straight line that cuts it in four or more points
  12. 25. An assertion that can be proved true using the rules of logic. A theorem is proven from axioms, postulates, or other theorems already known to be true.
  13. 27. a straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end
  14. 29. Two angles that add up to 180°.
  15. 33. the side of a polygon
  16. 34. A line segment between the center and a point on the circle or sphere
  17. 35. A polyhedron with a polygonal base and lateral faces that taper to an apex. A pyramid with a triangular base is called a tetrahedron.
  18. 36. A flat surface extending in all directions. Any three noncollinear points lie on one and only one plane. So do any two distinct intersecting lines.
  19. 37. A pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles are supplementary
  20. 39. At a 90° angle.
  21. 42. a surface or solid bounded by two parallel planes and generated by a straight line moving parallel to the given planes and tracing a curve bounded by the planes and lying in a plane perpendicular or oblique to the given planes
  22. 44. The geometric figure formed at the intersection of two distinct lines.
  23. 45. The point halfway between two given points.
  24. 46. a stage in a scale of relative amount or intensity a high degree of competence
Down
  1. 1. All points between two given points (including the given points themselves).
  2. 2. The formula below gives the volume of a solid. A(x) is the formula for the area of cross-sections over the entire length of the solid.
  3. 3. coinciding at all points when superimposed congruent triangles.
  4. 4. A statement accepted as true without proof
  5. 5. A closed plane figure for which all sides are line segments.
  6. 6. using or pertaining to systems of coordinates
  7. 9. a polygon such that no side extended cuts any other side or vertex it can be cut by a straight line in at most two points
  8. 10. the outer boundary especially of a circular area perimeter
  9. 11. A three dimensional solid consisting of all points equidistant from a given point.
  10. 12. opposite one another at the intersection of two lines
  11. 13. two angles having the same vertex and having a common side between them
  12. 15. any particular extent of space or surface part the dark areas in the painting; the dusty area of the room
  13. 16. The distance around the outside of a plane figure. For a polygon, the perimeter is the sum of the lengths of the sides.
  14. 20. a solid whose surface is generated by a line passing through a fixed point and a fixed plane curve not containing the point consisting of two equal sections joined at a vertex
  15. 22. Alternate exterior angles are congruent. Formally, alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.
  16. 23. lying in the same straight line
  17. 24. line that extends from a vertex of a triangle to the opposite side (which may be extended). Medians, altitudes, and angle bisectors are all examples of cevians.
  18. 26. unknown angle
  19. 28. the side of a right triangle opposite the right angle
  20. 30. A solid with parallel congruent bases which are both polygons
  21. 31. a line or border at which a surface terminates
  22. 32. A part of a line starting at a particular point and extending infinitely in one direction.
  23. 38. a line or plane that bisects an angle or line segment
  24. 40. One of the flat surfaces making up
  25. 41. A 90° angle.
  26. 43. A corner point of a geometric figure.