Geometry Puzzle

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Across
  1. 3. The ratio of x to y (y can't = ) is x/y and is sometimes written x:y
  2. 4. A statement that can be proved
  3. 9. A trapezoid with congruent legs
  4. 10. Two polygons are similar if their vertices can be paired so that the corresponding angles are congruent and corresponding sides are in proportion
  5. 12. A triangle with one right angle
  6. 13. If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar
  7. 15. Coplanar lines that do not intersect
  8. 18. An equation stating that two ratios are equal
  9. 19. If the sides of two angles are in proportion, then the triangles are similar
  10. 20. If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two side
  11. 21. A quadrilateral with both pairs of opposite sides parallel
  12. 22. A rectangle such that its length and width satisfy the equation l/w = l + w/l
  13. 26. A statement that is accepted without proof
  14. 27. Two angles whose sides form two pairs of opposite rays
  15. 29. A polygon that is both equiangular and equilateral
  16. 30. Two figures that have the same shape
  17. 31. A triangle with at least two sides congruent
  18. 32. Two angles whose measures have the sum of 90
  19. 33. If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally
  20. 34. The ratio l : w for a golden rectangle
  21. 35. In a right triangle the side opposite the right angle
  22. 36. The ray that divides the angle into two congruent adjacent angles
  23. 37. A line,segment, ray, or plane that intersects the segment at its midpoint
Down
  1. 1. The point that divides the segment into two congruent segments
  2. 2. A line that intersects two or more coplanar lines in different points
  3. 5. A triangle with no sides congruent
  4. 6. If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar
  5. 7. The angle opposite the base
  6. 8. A 4 sided polygon
  7. 11. An 8 sided polygon
  8. 14. The segment that joins the midpoint of the legs
  9. 16. For similar polygons, the ratio of the lengths of two corresponding sides
  10. 17. Segments that have equal lengths
  11. 23. Lines Two lines that intersect to form right angles
  12. 24. Angles that have equal measure
  13. 25. Two angles whose measures have the sum 180
  14. 28. An angle with measure 180