Concept 16 Angle pairs and transversals Vocab Words

Concept 16 Angle pairs and transversals

Vocab Words › Alternate: to be on opposite sides of › Interior: to be between lines › Exterior: to be outside of lines › Corresponding: to be in similar locations › Same Side: to be on the same side of the line

A E T L R E A N Interior Corresponding Alternate T Exter i or Exte r i or Interior

• Transversal – a line intersected by two or more lines at different locations. • Alternate Interior Angles – Alt. Int. – angles on opposite sides of the transversal and in between the two lines being intersected. • Alternate Exterior Angles – Alt. Ext. - angles on opposite sides of the transversal and outside the two lines being intersected. • Same Side Interior Angles – Same Side Int. – angles on same side of transversal and in between the lines being intersected. • Same Side Exterior Angles – Same Side Ext. – angles on same side of transversal and outside the lines being intersected. • Corresponding Angles – angles on the same side of transversal and same side of intersected line.

1 2 5 6 Write the angle that completes the pair with the on the front of the tab. 3 4 7 8

Use the following picture to identify each pair of angles as: corresponding, alternate interior, alternate exterior, same side interior, same side exterior, or none. Then name which line is the transversal for each pair. 1. 1 and 7 Corresponding Angles 2. 6 and 1 3. 8 and 4 Same Side Exterior Angles Alternate Interior Angles 4. 6 and 2 Alternate Exterior Angles 5. 1 and 4 None 6. 8 and 6 Corresponding Angles 7. 6 and 2 Alternate Exterior Angles 8. 3 and 4 Same Side Interior Angles

Use the following picture to identify each pair of angles as: corresponding, alternate interior, alternate exterior, same side interior, or none. Then name which line is the transversal for each pair. 9. 1 and 9 Transversal: line A, Corresponding Angles 10. 6 and 3 Transversal: line C, Alternate Interior Angles 11. 15 and 4 Transversal: line B, Alternate Exterior Angles 12. 11 and 10 Transversal: line D, Same Side Interior Angles 13. 9 and 7 None 14. 5 and 9 Transversal: line A, Same Side Interior Angles 15. 12 and 4 Transversal: line B, Corresponding Angles 16. 3 and 16 Transversal: line B, Alternate Exterior Angles 17. 1 and 16 None 18. 10 and 15 Transversal: line D, Alternate Interior Angles

Parallel Lines and Transversals Concept 16 b

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Use the figure above to answer the following questions. line m and line 1. Which lines are parallel? ___________ n line l 2. Which line is the transversal? _________ corresponding 3. What type of angles are 1 and 3? ________ Same side int. 4. What type of angles are 6 and 7? ________ Alt. exterior 5. What type of angles are 4 and 5? ________ Alt. Interior 6. What type of angles 3 and 6? __________ 6, 3, 8 7. Name all angles congruent to 1 _______ 5, 4, 7 8. Name all angle congruent to 2_______ 9. If m 1 is 72 o, what is m 5? _______ 10. If m 2 is 105 o, what is m 7? _______ 11. If m 4 is 102 o, what is m 5? _______ 12. If m 8 is 76 o, what is m 6? _______ 13. If m 6 is 74 o, what is m 4? _______

Tell which postulates (or theorems) you used. 14. In the figure, m 11 = 51. Find m 15. In the figure, m 11 = 51. Find m 16. If m 2 = 125, find m 3. 17. If m 2 = 125, find m 4.

In the figure, m∠ 3 = 102. Find the measure of each angle. 18. ∠ 5 = 19. ∠ 6 = 20. ∠ 11 = 21. ∠ 7 = 22. ∠ 15 = 23. ∠ 14 =

In the figure, m∠ 9 = 80 and m∠ 5 = 68. Find the measure of each angle. Tell which type of angle pairs used to support your findings. 24. ∠ 12 = 25. ∠ 1 = 26. ∠ 4 = 27. ∠ 3 = 28. ∠ 7 = 29. ∠ 16 =

More with Parallel Lines and Their Angle Measures Concept 16 c

30. If m 5 = 2 x – 10, and m 7 = x + 15, find x. 31. If m 4 = 4(y – 25), and m 8 = 4 y, find y. 32. If m 1 = 9 x + 6 and m 2 = 2(5 x – 3) find x. 33. Use the information from #32 and m 3 = 5 y + 14 to find y.

Types of Lines Concept 16 d