2. 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Coordinate Geometry ProofsPolygonsTriangles Angles and Lines Parallel Lines

3. Angles and Lines - 100 12 43 65 78 Name a pair of vertical angles. Answers:  1 and  4;  3 and  2  5 and  8;  7 and  6

4. Angles and Lines - 200 12 43 65 78 Name a pair of alternate interior angles. Answers:  3 and  6;  4 and  5

5. Angles and Lines - 300 12 165 11 10 1716 4 6 12 1514 13 87 2 1 3 9 Classify  4 and  13 Answers: Same Side Interior Angles

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

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

8. Parallel Lines - 100 3 1 2 4 5 6 8 7 9 10 11 1213 s t m k b a 14 15 m s If  9   15, then which two lines (if any) are parallel? Answer: t // s

9. Parallel Lines - 200 3 1 2 4 5 6 8 7 9 10 11 1213 s t m b a 14 15 m s If  1   14, then which two lines (if any) are parallel? Answer: k // m k

10. Parallel Lines - 300 3 1 2 4 5 6 8 7 9 10 11 1213 s t m b a 14 15 m s k If  13 and  12 are supplementary, then which two lines (if any) are parallel? Answer: none

11. Parallel Lines - 400 3 1 2 4 5 6 8 7 9 10 11 1213 s t m b a 14 15 m s k If  12 and  15 +  10 are supplementary, then which two lines (if any) are parallel? Answer: a // b

12. Parallel Lines - 500 3 1 2 4 5 6 8 7 9 10 11 1213 s t m k b a 14 15 m s If  4   1, then which two lines (if any) are parallel? Answer: a // b

13. Triangles - 100 Classify the triangle by its angles and sides. Answer: Acute, Scalene 1414.5 8 19° 81° 80°

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

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

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

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

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

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

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

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

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?

23. Proofs - 100 Fill in the missing piece to the proof. StatementsReasons 1. m  1 = m  21. Given 2. m  1 = m  3 2. Vertical Angles are  3. ___________3. Substitution m  2 = m  3

24. Proofs - 200 Provide a justification for the statement. If a // b, then m  1 = m  2. Answer: If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. 13 5 4 67 2 8 a b

25. Proofs - 300 Provide a justification for the statement. If m  7 = m  3, then a // b. Answer: If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. 13 5 4 67 2 8 a b

26. Proofs - 400 Put the statements of the proof in order to match the reasons. 13 5 4 67 2 8 a b Given:  1 and  7 are supplementary. Prove: m  8 = m  4 1. Given 2. Def. of Supp.  s 3. Def.of a Linear Pair 4. Substitution 5. Reflexive 6. Subtraction 7. Vertical Angles are  8. Substitution Statements: A) m  8 = m  4 B) m  7 = m  4 C) m  8 = m  7 D)  1 and  7 are supplementary E) m  1 + m  4 = 180 F) m  1 + m  7 = 180 G) m  1 = m  1 H) m  1 + m  7 = m  1 + m  4 DFEHGBCADFEHGBCA

27. Statements Reasons Proofs - 500 Complete the proof. 1 8 11 a b 2 65 910 14 13 15 16 12 7 34 s t Given: a // b; m  13 = m  4 Prove: s // t 1. a // b 1. Given 2. m  13 = m  5 2. If two // lines are cut by a transversal, then corr.  ’s are . 3. m  13 = m  4 3. Given 4. m  4 = m  5 4. Substituion 5. s // t 5. If two lines are cut by a transversal and alt. ext.  ’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

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

30. Coordinate Geometry - 300

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

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

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