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Warm-Up: Angle Relationships and Measures

Practice finding missing angle measures and identifying angle relationships, such as alternate interior angles and corresponding angles.

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Warm-Up: Angle Relationships and Measures

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  1. Warm-up: • 1. Name alternate interior angles • 2. Name consecutive interior angles • 3. Name corresponding angles • 4. If m< 5 = 112, find m<2. • 5. If m< 8 = 95, find m<2.

  2. Find missing measures • 1 2 3 4 5 6 7 8 9 10 11 12 13 14 • If m<13 = 100 and m< 7= 110, find each • m< 6= • m< 5= • m< 8=

  3. Name< 1 & <3

  4. Name

  5. Name< 1 & <2

  6. Name< 1 & <2

  7. Name< 1 & <8

  8. Name< 4 & <8

  9. Name< 4 & <5

  10. Name< a & <g

  11. Name< 2 & <4

  12. Name< 4 & <7

  13. Name< 2 & <8

  14. Name< 11 & <16

  15. Name< 1 & < 14

  16. Name and find measure

  17. Find the measure of x, y, and z

  18. Quiz: Lines and Angles • No talking during quiz • When finish P. 158 #1 – 11 skip #5

  19. Warm-Up: Find x. • 1. If m < 1 = 72, then m < 7 = x. • 2. If m < 3 = 4x + 4 and m < 6 = 3x + 10. • 3. If m < 8 = 9x - 10, then m < 7= 5x + 50

  20. Practice: • P. 158 #1 – 11 skip #5 DUE: Friday Will be graded!

  21. Angle Scramble • Work in Pairs • Materials: scissors, glue, construction paper, & calculator • Show your work • Congruent vs. Supplementary

  22. Parallel Lines & Angles Poster 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 • Section 1: Find Measure. (Choose 2) • 1. If m<1 = 102º, find m<5. • 2. If m<10 = 48º, find m< 6. • 3. If m<9 = 113º, find m<2. • Section 2: Find x. (Choose 2) • 1. If m<2 = 5x+2 & m<10 = x+18. • 2. If m<13=7x+9 & m<10=2x+54. • 3. If m<6 = 4x+6 & m<9 = 2x+74. • Section 3: Find x. (#1 & one other) • 1. If m<12 = 11x -9. • 2. If m<14 = 8x+50 & m<5 = 5x. • 3. If m<6 = 3x-5 & m<10 = 4x+3.

  23. Check Quiz • 3.1 & 3.2

  24. Warm-Up: A B C D E F G H • 1. Summarize what it means if two parallel lines are cut by a transversal? • 2. Use figure, If m< ACD = 105º, find m< FCB. • 3. Use figure, If m< DCF = 5x + 4 and m< EFC = 7x – 4. Find x.

  25. Chapter 3 Review Parallel Lines and Angles

  26. Which lines are perpendicular? • A. • B. • C. • D. • Answer: C

  27. Find the value of x. • A. 121 • B. 31 • C. 149 • D. 59 • Answer: D 31º xº

  28. What is the relationship between < 4 and <7? • A. Alternate Interior • B. Alternate exterior • C. Corresponding • D. Consecutive interior • E. None of these Answer: E

  29. What is the relationship between < 1 and <8? • A. Alternate Interior • B. Alternate exterior • C. Corresponding • D. Consecutive interior • E. None of these Answer: B

  30. Which are alternate exterior angles? • A. < 1 and < 12 • B. < 6 and < 15 • C. < 4 and < 15 • D. none of these • Answer: C

  31. Describe the relationship between <CAF and <DFA. • A. Alternate Interior • B. Alternate exterior • C. Corresponding • D. Consecutive interior • E. None of these • Answer: A L A C D F K

  32. If two parallel lines are cut by a transversal, then consecutive interior angles are __________. • A. congruent • B. acute • C. complementary • D. supplementary • Answer: D

  33. Which are same-side interior angles? • A. < 1 and < 8 • B. < 2 and < 4 • C. < 3 and < 5 • D. < 4 and < 5 • Answer: C

  34. Describe the relationship between <CBE and <DEF. • A. Alternate Interior • B. Alternate exterior • C. Corresponding • D. Consecutive interior • E. None of these • Answer: C H C B G E D F

  35. Find x. • A. 90º • B. 53º • C. 127º • D. 43º • Answer: C

  36. In the figure below, m< ABC = 102º. Which of the following statements is false? C D A B E F H G • A. m<GEF = 102º • B. <ABH and <AEG are corresponding angles • C. <HBF and < AED are alternate exterior angles • D. m< DEF = 78º • Answer: C

  37. If two parallel lines are cut by a transversal, the corresponding angles are __________. • A. congruent • B. acute • C. complementary • D. supplementary • Answer: A

  38. What is the measure of < FBC ? C D A E B F 124º H G • A. 56º • B. 134º • C. 124º • D. 34º • Answer: A

  39. Find m< 1 in the figure below. • A. 120º • B. 130º • C. 60º • D. 30º • Answer: C 1

  40. Which angle is not necessarily congruent to <4? • A. <12 • B. <7 • C. <15 • D. < 8 • Answer: D

  41. Find x. • A. 70º • B. 180º • C. 30º • D. 130º • Answer: D

  42. Find x, y, and z. • A. 70º, 70º, 50º • B. 70º, 110º, 35º • C. 110º, 70º, 35º • D. 70º, 70º, 35º • Answer: D

  43. The measure of angle 3 is 86º. What is the measure of angle 5? • A. 86º • B. 104º • C. 94º • D. 75º • Answer: C

  44. Lines l and m are parallel. _________ because vertical angels are congruent. • A. Angle 1 is congruent to Angle 3… • B. Angle 2 is congruent to Angle 3… • C. Angle 1 is congruent to Angle 2... • D. Angle 2 is congruent to Angle 4... • Answer: C

  45. Find the m<2. • Answer: • X = 15 • <m 2 = 50

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