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cgrb-0303.qxd 11/12/01 8:58 AM Page 28 LESSON Name:_________________ Geometry B 3-1 Parallel Lines and Naming Angles Match the key word with its definition. 1. transversal A. two angles that lie between the two lines on the same 2. corresponding angles 3. same-side interior angles 4. alternate exterior angles 5. alternate interior angles B. C. D. E. side of the transversal two angles that occupy corresponding positions two angles that lie between the two lines on the opposite sides of the transversal a line that intersects two or more coplanar lines at different points two angles that lie outside the two lines on the opposite sides of the transversal Describe the relationship between a1 and a2. 6. 7. t t 1 1 2 2 8. 9. t 1 t 1 2 2 Use the diagram shown at the right to name a pair of angles that fits the description. There is more than one correct answer. 10. corresponding 11. alternate interior 12. alternate exterior 13. same-side interior t 1 2 3 4 5 6 7 8 Use the diagram at the right to complete the statement using corresponding, alternate interior, alternate exterior, or same-side interior. t 1 8 2 7 14. a6 and a8 are ____ ? angles. 15. a1 and a5 are ____ ? angles. 3 6 4 5 16. a2 and a6 are ____ ? angles. 17. a4 and a8 are ____ ? angles. 18. a6 and a7 are ____ ? angles. 19. a1 and a3 are ____ ? angles. A picnic table is shown in the sketch at the right. Describe the relationship between the angles. 20. a3 and a7 21. a2 and a7 22. a4 and a6 23. a3 and a6 1 2 3 4 5 6 7 8 cgrb-0303.qxd 11/12/01 8:58 AM Page 29 Complete the statement. 1. A ____ ? is a line that intersects two or more coplanar lines at different points. 2. Two angles are ____ ? if they occupy corresponding positions. 3. Two angles are ____ ? if they lie between the two lines on the opposite sides of the transversal. 4. Two angles are ____ ? if they lie outside the two lines on the opposite sides of the transversal. 5. Two angles are ____ ? if they lie between the two lines on the same side of the transversal. Describe the relationship between the angles. 6. a1 and a4 t 1 2 3 4 7. a2 and a7 8. a1 and a3 t 1 2 3 4 t 1 2 5 6 7 8 3 4 Use the diagram shown at the right to list all pairs of angles that fit the description. 9. corresponding 11. alternate exterior 10. alternate interior 12. same-side interior 1 2 8 7 3 4 t 6 5 Use the diagram at the right to describe the relationship between the pairs of angles. 13. a CDH and a DEI 14. a KHI and a HIE 15. a ADC and a FEI 16. a EDH and a DHI 17. a KHI and a LIJ 18. a HDE and a BED A B C E D G H I K A utility pole is shown in the sketch at the right. List all pairs of numbered angles that fit the description. 19. corresponding 20. alternate exterior 21. alternate interior 22. same-side interior 5 6 7 8 F J L 1 2 3 4