SIMILARITIES

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Across
  1. 2. sides Sides in similar figures that are proportional in length
  2. 5. circles Circles with the same center; can be scaled versions of each other
  3. 7. Distance from the center to any point on a circle
  4. 9. polygon Polygon with equal sides and angles; similar to other regular polygons of same sides
  5. 15. triangle Two sides are equal; can form similar triangles with congruent angles
  6. 17. lines Lines that never meet; corresponding segments form similar figures
  7. 18. mean Square root of the product of two numbers; appears in similar right triangles
  8. 20. scaling Multiplying a vector by a constant; preserves direction, changes magnitude
  9. 21. factor The multiplier used to enlarge or reduce a figure in similarity
  10. 22. center Point where lines connecting corresponding points of similar figures meet
  11. 23. Moving or resizing a figure; includes dilation for similarity
  12. 24. transformation Preserves points, straight lines, and planes; includes similarity transformations
  13. 26. line theorem Line parallel to a triangle side forms a smaller similar triangle
  14. 28. Another term for dilation in coordinate geometry
  15. 29. reasoning Using ratios and scale factors to solve similarity problems
  16. 30. similarity Triangles are similar if all corresponding sides are proportional
  17. 35. (circle) Region between a chord and its intercepted arc
  18. 36. Region bounded by two radii and the arc
  19. 37. Line segment connecting non-adjacent vertices in polygons
  20. 41. ratio Ratio of circumferences of similar circles equals the scale factor
  21. 42. theorem Relates sides of right triangles; can be applied to similar triangles
  22. 44. Line passing through the center, connecting two points on the circle
  23. 45. When two figures have the same shape and size
  24. 46. Turning a figure around a fixed point; preserves similarity
  25. 47. similarity All circles are similar because the ratio of radii defines scaling
Down
  1. 1. ratios Sine, cosine, tangent; preserve relationships in similar triangles
  2. 3. triangle All sides and angles are different; can be similar via AA, SAS, or SSS
  3. 4. angle Angle whose vertex is on the circle; similar relationships exist in scaled figures
  4. 6. Moving a figure without rotation or resizing; preserves shape
  5. 8. Steepness of a line; preserves angle similarity under scaling
  6. 10. Flipping a figure over a line; preserves similarity
  7. 11. theorem Segment joining midpoints of two sides is parallel and half the third side
  8. 12. Making a figure smaller using a scale factor
  9. 13. ratio Ratio of areas of similar figures equals the square of the scale factor
  10. 14. ratio Ratio of lengths of segments in similar figures in the coordinate plane
  11. 16. form y = mx + b; useful for comparing similar line segments
  12. 19. angles Angles in similar figures that are equal in measure
  13. 25. similarity Two triangles are similar if two pairs of angles are equal
  14. 26. Objects appear smaller when farther away; modeled using similarity
  15. 27. Making a figure bigger using a scale factor
  16. 30. When two shapes have the same shape but not necessarily the same size; corresponding angles are equal, sides are proportional
  17. 31. similarity Triangles are similar if two sides are proportional and the included angle is equal
  18. 32. Segment connecting two points on a circle
  19. 33. similarity Pattern repeats at different scales; self-similar structures
  20. 34. A comparison of two quantities by division
  21. 37. Transformation that produces a similar figure by stretching or shrinking
  22. 38. triangle All sides and angles are equal; any two are similar
  23. 39. ratio Ratio of perimeters of similar figures equals the scale factor
  24. 40. An equation stating that two ratios are equal
  25. 43. Portion of a circle's circumference