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 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° Not to scale

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

15. Triangles – 300 Not to scale Classify by its angles and sides Answer: Obtuse Scalene A B C 60° 20° x°

16. Triangles - 400 What is 4x? Answer: x = 79; 4x = 316 22° x

17. Triangles - 500 Solve for x and y. Answer: x = 120 ° y = 60 ° 55° 115°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 sum of the interior angles of this polygon is 1440. Question: What is a decagon?

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 or septagon?

22. Polygons - 500 Answer: How many sides does a regular polygon have if one interior angle is 160° Question: 18 sides

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

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. Take out your warm up sheet and COMPLETE THE PROOF! It is worth 500 points!