1. Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

2. Category 1 100 The three undefined terms of geometry.

3. Category 1 100 Point, Line, Plane

4. Category 1 200 What is the definition of a ray, and name the ray below. B R T

5. Category 1 200 Ray: Straight arrangement of points that begins at an endpoint and extends forever in one direction. BR or BT

6. Category 1 300 Name the following figure and give the definition. L P W

7. Category 1 300 Angle: Two rays that share a common endpoint, but are not the same line. ∠ P or ∠ LPW or ∠ WPL

8. Category 1 400 A point that lies exactly halfway between two points, dividing a line segment into two congruent line segments.

9. Category 1 400 A Midpoint

10. Category 1 500 A rigid motion that “slides” each point of a figure the same distance and direction.

11. Category 1 500 Translation

12. Category 2 100 What is the midpoint formula?

13. Category 2 100

14. Category 2 200 Find the midpoint of the line segment AB, if A(3, - 6) and B(-9, - 4).

15. Category 2 200 Midpoint AB = (-3, -5)

16. Category 2 300 What is this formula used for:

17. Distance Formula Category 2 300

18. Category 2 400 What is the distance between the points A and B, if A(4, 2) and B (-7, 6)

19. Category 2 400 d = √137

20. Category 2 500 Find the midpoint and the distance between the points M(-3, 12) and N(4, 8).

21. Category 2 500 Midpoint of MN = (½, 10) Distance of MN = √65

22. Category 3 100 Fill in the blanks: Parallel lines have the same _______. Perpendicular lines have slopes that are opposite _________.

23. Category 3 100 Fill in the blanks: Parallel lines have the same Slope. Perpendicular lines have slopes that are opposite Recipricals.

24. Category 3 200 Find the slope of a line parallel to the given line: Line n : 2y + 3x = 4

25. Category 3 Slope = -3/2 200

26. Category 3 300 Find the slope of a line perpendicular to the given line: Line k: 8x – 4y = 6

27. Category 3 300 Slope = -½

28. Category 3 400 Determine if the lines would be parallel, perpendicular, coinciding or intersecting. 2y - 6x = 5 9y = -3x - 18

29. Category 3 400 Perpendicular: y = 3x + 5/2 y = -1/3x - 2

30. Category 3 500 Write the equation of a line parallel to line m and passing through the point (8, -6). line m: y = ¾x + 7

31. Category 3 500 Slope = ¾ y = ¾x - 12

32. Category 4 100 Name all the pairs of corresponding angles in the figure: 1 2 3 4 5 6 7 8

33. 100 Category 4 <1 and <5, <2 and <6, <4 and <8, <3 and <7 1 2 3 4 5 6 7 8

34. 200 Category 4 The complement of an angle is 4 times greater then the angle. Find the measure of the angle and it’s complement.

35. 200 Category 4 The angle = 18 o The complement of the angle = 72 o

36. 300 Category 4 1 2 3 4 5 6 7 8 If the measure of angle 1 is 43 o, what is the measure of angle 8 and angle 3?

37. 300 Category 4 1 2 3 4 5 6 7 8 m ∠1 = 43 o m ∠3 = 43 o m ∠8 = 137 o

38. 400 Category 4 Find the measure of each angle: 3x + 8 5x - 12

39. 400 Category 4 x = 23 o 3(x) + 8 = 77 o 5(x) – 12 = 103 o

40. 500 Category 4 The supplement of an angle is two thirds the measure of the angle. Find the measure of the angle and its supplement.

41. 500 Category 4 The angle = 108 o The supplement of the angle is 72 o

42. Category 5 100 Identify the hypothesis and the conclusion of the following statement: If a parallelogram is a square, then it is a rhombus.

43. 100 Category 5 Hypothesis: a parallelogram is a square Conclusion: it is a rhombus

44. 200 Category 5 Write the inverse of the following statement and determine if it is true. If two angles are vertical angles, then the angles are congruent.

45. 200 Category 5 If two angles are congruent, then they are vertical angles. False, angles can be congruent without being vertical angles. Congruent means that the angles have the same measure.

46. 300 Category 5 Write a two column proof: Given: ∠1 and ∠2 are supplementary. Prove: ∠1 + ∠2 = 180 o

47. 300 Category 5 Given: ∠ 1 and ∠ 2 are supplementary. Prove: ∠ 1 + ∠ 2 = 180 o StatementReason 1. ∠1 and ∠2 are supplementary 1.Given 2. ∠1 + ∠2 = 180 o 2. Definition of supplementary angles

48. 400 Category 5 Fill in the missing parts of the proof. Given: ∠ABC and ∠CBD are a linear pair Prove: ∠ABC + ∠CBD = 180 o StatementReason 1. ∠ABC and ∠CBD are a linear pair 1. 2. ∠ABC and ∠CBD are supplementary 2. 3. ∠ABC + ∠CBD = 180 o 3. AB C D

49. 400 Category 5 StatementReason 1. ∠ABC and ∠CBD are a linear pair 1. Given 2. ∠ABC and ∠CBD are supplementary 2. Linear Pair Postulate 3. ∠ABC + ∠CBD = 180 o 3. Definition of Supplementary Angles AB C D

50. 500 Category 5 Fill in the missing parts of the proof. Given: line n // line m and line t is a transversal Prove: ∠4 ≌ ∠6 1 2 3 4 5 6 7 8 n m t StatementReason 1.1.Given 2. ∠4 ≌ ∠8 2. Corresponding Angles Postulate 3. ∠8 ≌ ∠6 3. 4.4. Transitive Property of Congruence

51. 500 Category 5 StatementReason 1. line n // line m1.Given 2. ∠4 ≌ ∠8 2. Corresponding Angles Postulate 3. ∠8 ≌ ∠6 3. Vertical Angle Theorem 4. ∠4 ≌ ∠6 4. Transitive Property of Congruence 1 2 3 4 5 6 7 8 n m t