1. Clickers Bellwork • Solve for x • 5x-4=3x+10 • x2-3x-10=0 • 4x-3+5x-7+8x-12=360

2. Bellwork Solution • Solve for x 5x-4=3x+10

3. Bellwork Solution • Solve for x x2-3x-10=0

4. Bellwork Solution • Solve for x 4x-3+5x-7+8x-12=360

5. Chapters 8 & 10 Mastery Test on Wednesday

6. Question #1 Solve for x 105 x 75 120 145 130

7. Question #2 Solve for x 3x 2x 5x 35 85 53

8. Question #3 What is the value of x? Axis of symmetry Vertex

9. Question #4 What is the value of x? Axis of symmetry Vertex

10. Question #5 What value of x makes the object a rectangle? Axis of symmetry Vertex

11. Question #6 Solve for x? Axis of symmetry Vertex

12. Question #7 For what value of x, does the trapezoid become isosceles 71o 3x-2

13. Question #8 What is the measure of the missing angles? A 120o 40o B 15

14. Question #9 Solve for the midsegment AB 25 A B 31

15. Question #10 Solve for x 2x+1 31 A B 3x-4

16. Question #11 What is the name of this object

17. Question #12 What is the name of this object?

18. Question #13 Which quadrilaterals have perpendicular bisectors? • Kites, Trapezoids, Rhombuses • Rhombuses, Rectangles, Squares • Kites, Rhombuses • Kites, Rhombuses, Squares

19. Question #14 Which quadrilaterals have congruent bisected diagonals? • Kites, Rectangles, Squares • Rhombuses, Rectangles, Squares • Rectangles, Rhombuses • Rectangles, Squares

20. Homework • Chapter 8 Test (pg 564) • 1-11, 14-17

21. Clickers Bellwork • Solve for x • 5x-5=2x+10 • 2x2-6x-8=0 • 4x+5+7x+8x-12=360

22. Bellwork Solution • Solve for x • 5x-5=2x+10

23. Bellwork Solution • Solve for x • 2x2-6x-8=0

24. Bellwork Solution • Solve for x • 4x+5+7x+8x-12=360

25. Chapters 8 & 10 Mastery Test on Friday

26. Question #15 Which is a chord of the circle below? D B C E A H F G

27. Question #16 Which is the point of tangency of the circle below? C B D H I F E A G

28. Question #17 • What is the measure of Arc AB A B 150o 80o C D

29. Question #18 • What is the measure of Arc ADB A B 150o 80o C D

30. Question #19 • Solve for x 5x-12 3x+2

31. Question #20 • Solve for x B A xo

32. Question #21 • What is the measure of angle ABC A D 78o C B

33. Question #22 • Solve for x J K 4x-2o 6x+4o M L

34. Question #23 • What is the measure of angle ACD, if arc CD measures 160o D A 65o C B

35. Question #24 • What is the measure of angle ABC D 125o A B E 165o C

36. Question #25 • Solve for x A 65o 195o xo D B

37. Question #26 • Solve for x A D x 3 x+5 2 C B

38. Question #27 • What is the measure of angle ABC x 6 x

39. Homework • Worksheet

40. #20 A P U V Q B

41. Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex

42. Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex

43. Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex

44. Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex

45. Example What value of x, makes the quadrilateral a parallelogram? Axis of symmetry Vertex

46. Proving via Coordinates We can also prove that an object is a quadrilateral if we’re given the coordinates of the vertices by • Proving that both sets of sides are congruent • Proving that two sides are congruent and parallel • Proving that both sets of sides are parallel Proving congruency is easy via the distance formula, so let’s look at this one

47. An example… Find all of the angles given the listed angle measure 130 1 4 2 7 5 8 6 Axis of symmetry Vertex

48. Another example… We see these angles used in figures as well Find x & y 3y 6y 2x Axis of symmetry Vertex

49. Or in a proof Write a proof 3 1 A B 4 2 7 5 C D 8 6 Axis of symmetry Vertex

50. Another example… Find x & y 14x-10 2y 5x Axis of symmetry Vertex