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Unit 3

Unit 3. Jeopardy. Angles and Lines. Parallel Lines. Coordinate Geometry. Triangles. Polygons. Proofs. 100. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. 500.

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Unit 3

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  1. Unit 3 Jeopardy

  2. Angles and Lines Parallel Lines Coordinate Geometry Triangles Polygons Proofs 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

  3. Angles and Lines - 100 1 2 3 4 5 6 7 8 Name a pair of vertical angles. Answers: Ð1 and Ð4; Ð3 and Ð2 Ð5 and Ð8; Ð7 and Ð6 Back

  4. Angles and Lines - 200 1 2 3 4 5 6 7 8 Name a pair of alternate interior angles. Answers: Ð3 and Ð6; Ð4 and Ð5 Back

  5. Angles and Lines - 300 1 2 2 1 5 16 3 4 6 7 8 9 10 13 11 12 17 16 15 14 Classify Ð4 and Ð13 Answers: Same Side Interior Angles Back

  6. Angles and Lines - 400 Name a pair of parallel planes. Back

  7. Angles and Lines - 500 Name a pair of skew lines. Back

  8. Parallel Lines - 100 k m b a 1 t m 15 5 13 12 6 2 10 4 7 11 9 3 8 s s 14 If Ð9 @Ð15, then which two lines (if any) are parallel? Answer: t // s Back

  9. Parallel Lines - 200 k m b a 1 t m 15 5 13 12 6 2 10 4 7 11 9 3 8 s s 14 If Ð1 @Ð14, then which two lines (if any) are parallel? Answer: k // m Back

  10. Parallel Lines - 300 k m b a 1 t m 15 5 13 12 6 2 10 4 7 11 9 3 8 s s 14 If Ð13 and Ð12 are supplementary, then which two lines (if any) are parallel? Answer: none Back

  11. Parallel Lines - 400 k m b a 1 t m 15 5 13 12 6 2 10 4 7 11 9 3 8 s s 14 If Ð12 and Ð15 + Ð10 are supplementary, then which two lines (if any) are parallel? Answer: a // b Back

  12. Parallel Lines - 500 k m b a 1 t m 15 5 13 12 6 2 10 4 7 11 9 3 8 s s 14 If Ð4 @Ð1, then which two lines (if any) are parallel? Answer: a // b Back

  13. Triangles - 100 19° 14 14.5 80° 81° 8 Classify the triangle by its angles and sides. Answer: Acute, Scalene Back

  14. Triangles - 200 33° 90° x Solve for x. Answer: 57° Back

  15. Triangles - 300 B 60° 20° 100° C A Which side is longest according to the given information? Answer: BA Back

  16. Triangles - 400 22° x Solve for x. Answer: 79° Back

  17. Triangles - 500 55° 65° y° x° Solve for x and y. Answer: x = 120° y = 60° Back

  18. Polygons - 100 Answer: The sum of the interior angles of this figure is 720. Question: What is a hexagon? Back

  19. Polygons - 200 Answer: The number of diagonals that can be drawn in this figure is 2. Question: What is a quadrilateral? Back

  20. Polygons - 300 Answer: This is the sum of the exterior angles of any convex polygon. Question: What is 360°? Back

  21. Polygons - 400 Answer: The sum of the interior angles of this figure is 900. Question: What is a heptagon? Back

  22. Polygons - 500 Answer: This is the number of diagonals that could be drawn in a polygon with 105 sides. Question: What is 5355 diagonals? Back

  23. Proofs - 100 Fill in the missing piece to the proof. Statements Reasons 1. mÐ1 = mÐ2 1. Given 2. mÐ1 = mÐ3 2. Vertical Angles are @ 3. ___________ 3. Substitution mÐ2 = mÐ3 Back

  24. Proofs - 200 Provide a justification for the statement. If a // b, then mÐ1 = mÐ2. Answer: If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. 1 3 b 4 5 6 7 a 8 2 Back

  25. Proofs - 300 Provide a justification for the statement. If mÐ7 = mÐ3, then a // b. Answer: If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. 1 3 b 4 5 6 7 a 8 2 Back

  26. Proofs - 400 Put the statements of the proof in order to match the reasons. Statements: A) mÐ8 = mÐ4 B) mÐ7 = mÐ4 C) mÐ8 = mÐ7 D) Ð1 and Ð7 are supplementary E) mÐ1 + mÐ4 = 180 F) mÐ1 + mÐ7 = 180 G) mÐ1 = mÐ1 H) mÐ1 + mÐ7 = mÐ1 + mÐ4 1. Given 2. Def. of Supp. Ðs 3. Def.of a Linear Pair 4. Substitution 5. Reflexive 6. Subtraction 7. Vertical Angles are @ 8. Substitution D F E H G B C A 1 3 b 4 5 Given: Ð1 and Ð7 are supplementary. Prove: mÐ8 = mÐ4 6 7 a 8 2 Back

  27. Proofs - 500 Complete the proof. 1 3 4 2 a Given: a // b; mÐ13 = mÐ4 Prove: s // t 5 6 7 8 9 10 11 12 b 13 14 15 16 t s Back Statements Reasons 1. a // b 1. Given 2. mÐ13 = mÐ5 2. If two // lines are cut by a transversal, then corr. Ð’s are @. 3. mÐ13 = mÐ4 3. Given 4. mÐ4 = mÐ5 4. Substituion 5. s // t 5. If two lines are cut by a transversal and alt. ext. Ð’s are @, then the lines are //. It can be done in 5 steps if you split the givens into 2 steps.

  28. Coordinate Geometry - 100 Back

  29. Coordinate Geometry - 200 Find the midpoint between the points (3,2) and (6,4) Answer: (4.5,3) Back

  30. Coordinate Geometry - 300 Back

  31. Coordinate Geometry - 400 Find the midpoint between (2,7) and (1,15). Find the slope of the line that runs through those two points. Answer: (3/2, 11) and 8 Back

  32. Coordinate Geometry - 500 Find the midpoint, slope, parallel slope, and perpendicular slope for the following points. (4,7) and (-1,3) Answer: (3/2,5) – 4/5 – 4/5 - -5/4 Back

  33. FINAL JEOPARDY Category Parallel Lines

  34. What are the five ways we can prove lines are parallel? • Two lines cut by a transversal and corr angles congruent • Two lines cut by transversal and alt int angles congruent • Two lines cut by a transversal and same-side int angles are supplementary • Two lines perpendicular to the same line • Alt ext angles are congruent

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