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Geometry Jeopardy: Angles, Proofs, and Geometry Properties Challenge

Test your knowledge in geometry with this fun Jeopardy-style quiz! Cover topics such as types of angles including congruent and supplementary angles, vertical angles, proofs involving linear pairs, and the properties of polygons. From simple calculations to complex proofs, elevate your understanding of geometry concepts. Challenge yourself with questions about angle measures, similarities in figures, and the properties of different polygons. Get ready for an engaging mathematical adventure!

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Geometry Jeopardy: Angles, Proofs, and Geometry Properties Challenge

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  1. Jeopardy Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  2. $100 Question from H1 Congruent angles that share a vertex but no sides are called…

  3. $100 Answer from H1 Vertex angles

  4. $200 Question from H1 Supplementary angles that share a vertex AND share a side are called a…

  5. $200 Answer from H1 Linear pair

  6. $300 Question from H1 What is the converse of this statement? “If two lines are perpendicular, then they intersect at 90˚ angles”

  7. $300 Answer from H1 “If they intersect at 90˚ angles, then two lines are parallel”

  8. $400 Question from H1 What is the missing statement and reason?

  9. $400 Answer from H1  angle EBA is congruent to angle CBD; Vertical angles are congruent.

  10. $500 Question from H1 Write a two column proof for the following: Given: angle 1 + angle 3 = 180˚ Prove: angle 1 = angle 4 1 2 3 4

  11. $500 Answer from H1 Answers may vary: Ex. ∟1 + ∟3 = 180 Linear Pair ∟4 + ∟3 = 180 Linear Pair ∟1 = ∟4 Transitive Property

  12. $100 Question from H2 Solve for x. 5x 3x + 20

  13. $100 Answer from H2 X = 10

  14. $200 Question from H2 Solve for x and find angle JGI J 3x - 6 8x - 53 H I G

  15. $200 Answer from H2 x = 11; JGI = 35

  16. $300 Question from H2 Find the missing measure in this pair of angles. (Explain your answer for Daily Double! P K 45˚ x˚ M

  17. $300 Answer from H2 45˚; because the square in the corner shows that they are complementary angles.

  18. $400 Question from H2 (For these questions, assume lines n and m are parallel, with transversal t) Name a pair of alternate interior angles and a pair of same side interior angles n t 2 1 m 4 3 6 5 8 7

  19. $400 Answer from H2 Alternate interior: 4 and 5 3 and 6 Same-side interior: 4 and 6 3 and 5

  20. $500 Question from H2 If the measure of angle 2 is 115˚, what is the measure of angle 5? (Explain why for a Daily Double!! Use vocab…) n t 2 1 m 4 3 6 5 8 7

  21. $500 Answer from H2 65˚; ex.: corresponding to 6, linear with 5

  22. $100 Question from H3 Find the length of AB. 45 cm A C B 30 cm

  23. $100 Answer from H3 BC = 15 cm

  24. $200 Question from H3 Find x, and find the measure of BC. 45 cm A C B 4x 2x + 9

  25. $200 Answer from H3 x = 6 BC = 21 cm

  26. $300 Question from H3 ∠EFH = 65o E 3x + 5 G 30o F H Find x and the m∠EFG

  27. $300 Answer from H3 x = 10

  28. $400 Question from H3 B is the midpoint of AC. Find x, and find the length of AC. A B C 5x 40 cm

  29. $400 Answer from H3 x = 8, AC = 80cm

  30. $500 Question from H3 FG bisects ∠EFG E 12x G 9x + 21o F H Find x and the m∠EFG

  31. $500 Answer from H3 x = 7; ∠EFG = 84o

  32. $100 Question from H4 What is the interior angle sum of a polygon with 12 sides?

  33. $100 Answer from H4 1080o

  34. $200 Question from H4 If two exterior angles in a triangle are 275o, what is the measure of the third exterior angle?

  35. $200 Answer from H4 85o

  36. $300 Question from H4 Find the missing angle in the polygon below. 35o 108o x 95o

  37. $300 Answer from H4 122o

  38. $400 Question from H4 A polygon has an interior angle sum of 3,420o. How many sides does the polygon have?

  39. $400 Answer from H4 n = 19

  40. $500 Question from H4 Find the measure of x and y. 102o 95o 118o 121o x y

  41. $500 Answer from H4 x = 118o; y = 76o

  42. $100 Question from H5 What conditions are required for two figures to be similar?

  43. $100 Answer from H5 All corresponding sides are proportional, all corresponding angles are congruent.

  44. $200 Question from H5 Solve the proportion below. 12 = 8 15 x

  45. $200 Answer from H5 x = 10

  46. $300 Question from H5 Name the two triangles that are marked congruent below. (Figures NOT drawn to scale) A D E B C F

  47. $300 Answer from H5 ABC ≅ FED or ACB ≅ FDE or BAC ≅ EFD

  48. $400 Question from H5 Are the two triangles similar? Why or why not? 5’ 3’ 15’ 12’ 3’ 9’

  49. $400 Answer from H5 No; the sides are not proportional

  50. $500 Question from H5 Find the measure of x 8 in 25 in 12 in x in 12 in 18 in

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