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