1. Chapter13-6 Similar and Congruent Figures
Thursday, March 6
Chapter13-6 Similar and Congruent Figures

2. Similar and Congruent Figures
Objective: To understand similar and congruent figures.

3. Similar and Congruent Figures
Congruent Figures - Figures that have the same size and shape.

4. Similar and Congruent Figures
Congruent Figures - Figures that have the same size and shape. Similar Figures - Figures that have the same shape but not same size.

5. Similar and Congruent Figures
If one shape can become another using rotation…….

6. Similar and Congruent Figures
reflection……

7. Similar and Congruent Figures
Or translation, then the two shapes are called Congruent:

8. Similar and Congruent Figures
The parts of congruent figures that “match” are called corresponding parts.

9. Similar and Congruent Figures
Sometimes it can be hard to see if two shapes are Similar, because you may need to turn, flip or slide one shape as well as resizing it.

10. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

11. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are congruent.

12. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

13. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are congruent.

14. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

15. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are neither.

16. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

17. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are similar.

18. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

19. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are congruent.

20. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

21. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are similar.

22. Similar and Congruent Figures
Are these shapes similar, congruent or neither?

23. Similar and Congruent Figures
Are these shapes similar, congruent or neither? These shapes are similar.

24. Similar and Congruent Figures
How many triangles similar to this equilateral triangle, , is in the diagram below?

25. Similar and Congruent Figures
How many triangles similar to this equilateral triangle, , is in the diagram below? 27

26. Similar and Congruent Figures
The following triangles are congruent. What side of ABC corresponds to side YZ? Y A 5ft 4ft Z 4 ft X C B

27. Similar and Congruent Figures
The following triangles are congruent. What side of ABC corresponds to side YZ? AC Y A 5ft 4ft Z 4 ft X C B

28. Similar and Congruent Figures
The following triangles are congruent. What is the measure of AC? Y A 5ft 4ft Z 4 ft X C B

29. Similar and Congruent Figures
The following triangles are congruent. What is the measure of AC? 5 ft Y A 5ft 4ft Z 4 ft X C B

30. Similar and Congruent Figures
The following triangles are congruent. Name the side of XYZ that corresponds to side AB? Y A 5ft 4ft Z 4 ft X C B

31. Similar and Congruent Figures
The following triangles are congruent. Name the side of XYZ that corresponds to side AB? YX Y A 5ft 4ft Z 4 ft X C B

32. Similar and Congruent Figures
The following triangles are congruent. What is the perimeter of ABC? Y A 5ft 4ft Z 4 ft X C B

33. Similar and Congruent Figures
The following triangles are congruent. What is the perimeter of ABC? 13ft Y A 5ft 4ft Z 4 ft X C B

34. Similar and Congruent Figures
The following triangles are similar. What is the measure of AB? Y A 8ft 6ft 4 ft Z 4 ft X C B

35. Similar and Congruent Figures
The following triangles are similar. What is the measure of AB? 3 ft Y A 8ft 6ft 4 ft Z 4 ft X C B

36. Similar and Congruent Figures
The following triangles are similar. What is the measure of BC? Y A 8ft 6ft 4 ft Z 4 ft X C B

37. Similar and Congruent Figures
The following triangles are similar. What is the measure of BC? 2 ft Y A 8ft 6ft 4 ft Z 4 ft X C B

38. Similar and Congruent Figures
The following triangles are similar. What is the perimeter of A BC? Y A 8ft 6ft 4 ft Z 4 ft X C B

39. Similar and Congruent Figures
The following triangles are similar. What is the perimeter of A BC? 9ft Y A 8ft 6ft 4 ft Z 4 ft X C B

40. Similar and Congruent Figures
The following rectangles are similar. What is the perimeter of rectangle B? A 5 cm B 10 cm 2 cm

41. Similar and Congruent Figures
The following rectangles are similar. What is the perimeter of rectangle B? 6 cm A 5 cm B 10 cm 2 cm

42. Similar and Congruent Figures
The two quadrilaterals are similar. What is the value of x?

43. Similar and Congruent Figures
The two quadrilaterals are similar. What is the value of x? ; x = 6
9 = x

44. Similar and Congruent Figures
The two trapezoids are similar. What is the value of x?

45. Similar and Congruent Figures
The two trapezoids are similar. What is the value of x? ;
4 = x

46. Similar and Congruent Figures
The two triangles are similar. What is the length of PQ?

47. Similar and Congruent Figures
The two triangles are similar. What is the length of PQ? ; 10.5
7 = x

48. Similar and Congruent Figures
A Tessellation (or Tiling) is when you cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.

49. Similar and Congruent Figures
A regular tessellation is a pattern made by repeating a regular polygon.

50. Similar and Congruent Figures
A vertex is just a "corner point".

51. Similar and Congruent Figures
Three hexagons meet at this vertex, and a hexagon has 6 sides. So this is called a "6.6.6" tessellation

52. Similar and Congruent Figures
A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!

53. Similar and Congruent Figures
Is a soccer ball a regular or semi-regular tessellation?

54. Similar and Congruent Figures
Is a soccer ball a regular or semi-regular tessellation? Semi-regular, It is comprised of regular pentagons and hexagons

55. Similar and Congruent Figures
There are also "demiregular" tessellations.

56. Similar and Congruent Figures
How many shapes are in this tessellations?

57. Similar and Congruent Figures
How many shapes are in this tessellations? 3 - square, triangle and hexagon.

58. Similar and Congruent Figures
Agenda Notes – Homework – Practice Skills 13-6 Due Friday, March 7 Chapter 13 Test Monday, March 10