Geometry

Chi Tran, 2014年6月9日

Investigate transformations with rigid motions, dilation, congruence & similarity


  • 1. Congruence by Rigid Motions
  • 2. Coordinate Activity : Submarine
  • 3. Investigating Dilation & Scale Factors
  • 4. Investigating Reflection over the X-Axis
  • 5. Investigating Reflection over the Y-Axis
  • 6. Investigation Reflection over Diagonals
  • 7. Investigation Translations
  • 8. Similarity by Dilation & Rotation
  • 9. Perimeter Scale Factor vs Area Scale Factor
  • 10. The Square Tangram Puzzle
  • 11. Effects of scaling on volume.
  • 12. Midpoint Coordinate
  • 13. Calculate Endpoint Given Midpoint
  • 14. Investigate Right Triangle Ratios
  • 15. Graph the Circle in Standard Equation
  • 16. Investigating the Equation of a Circle
  • 17. Cavalieri's Principle with Different Pyramids
  • 18. Cone & Cylinder by Revolution
  • 19. Cross Sections of a Rectangular Prism
  • 20. Cross Sections of a Rectangular Pyramid
  • 21. Dissecting a triangular prism into 3 equal-volume pyramids
  • 22. Identify lines of symmetry
  • 23. Rotational Symmetry of Quadrilaterals
  • 24. Perpendicular bisector
  • 25. Equilateral Triangle
  • 26. Isosceles Triangle
  • 27. Triangle Inequality
  • 28. Triangle Sum
  • 29. Relationship: Angles and Sides in aTriangle
  • 30. Investigating Midsegments in a Triangle
  • 31. Centroid Lab
  • 32. Locating the Centroid of a Triangle
  • 33. Cyclic Quadrilateral
  • 34. Properties of a Parallelogram
  • 35. Dilation & Triangle Similarity
  • 36. 45-45-90 Triangle
  • 37. Trig ratios
  • 38. Special Right Triangles
  • 39. Similar Right Triangles
  • 40. Folding and lines of symmetry in the square
  • 41. Line Symmetries and the Quadrilaterals
  • 42. Congruence with Rigid Transformations
  • 43. Find the Hypotenuse
  • 44. Pythagorean Theorem
  • 45. Acute angles in a right triangle
  • 46. Pythagorean Theorem Right Angle
  • 47. Similar Circles
  • 48. Tangents of a Circle
  • 49. Radian Measure
  • 50. Vertical Angles
  • 51. Complementary Supplementary Angles
  • 52. Corresponding Angles
  • 53. Alternate Interior Angles
  • 54. Similar Triangles
  • 55. Inscribed Angle
  • 56. Trig as Ratios
  • 57. Prisms

1.

Congruence by Rigid Motions

1) Is there a sequence of rigid motions that maps the blue triangle onto the red triangle?[br]2) Are the 2 triangles congruent?
– Chi Tran, David Cox

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

8.

–

9.

–

10.

–

11.

–

12.

–

13.

–

14.

–

15.

–

16.

–

17.

–

18.

–

19.

–

20.

–

21.

–

22.

–

23.

–

24.

–

25.

–

26.

–

27.

–

28.

–

29.

–

30.

–

31.

–

32.

–

33.

–

34.

–

35.

–

36.

–

37.

–

38.

–

39.

–

40.

–

41.

–

42.

–

43.

–

44.

–

45.

–

46.

–

47.

–

48.

–

49.

–

50.

–

51.

–

52.

–

53.

–

54.

–

55.

–

56.

–

57.

–

資訊