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Jeopardy

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

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Jeopardy

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

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

  3. 100 Category 1 Point, Line, Plane

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

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

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

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

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

  9. 400 Category 1 A Midpoint

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

  11. 500 Category 1 Translation

  12. 100 Category 2 What is the midpoint formula?

  13. 100 Category 2

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

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

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

  17. 300 Category 2 Distance Formula

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

  19. 400 Category 2 d = √137

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

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

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

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

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

  25. 200 Category 3 Slope = -3/2

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

  27. 300 Category 3 Slope = -½

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  42. 100 Category 5 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 = 180o

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

  48. 400 Category 5 Fill in the missing parts of the proof. Given:∠ABC and ∠CBD are a linear pair Prove: ∠ABC + ∠CBD = 180o C A B D

  49. 400 Category 5 C A B 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 n t m 2 1 3 4 6 5 7 8

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