HONORS GEOMETRY Chapter 6 Review B NAME 1. AB , 2. XY Always Sometimes Never CK BC and CD are coplanar and RT are skew lines. Points X, R and T are coplanar. Always Sometimes Never 3. and VW are parallel lines. If a line is to CK then it is to VW Always Sometimes Never 4. If AB is to plane m, plane m // plane n, then AB plane n. Always Sometimes Never 5. 6. EF intersects plane m at exactly two points. A line is to exactly one line in a plane. Always Sometimes Never Always Sometimes Never 7. and AB are parallel lines. If a line is // to EF then it is // to AB Always Sometimes Never 8. A line is to exactly two lines in a plane. Always Sometimes Never 9. EF EF intersects plane m at exactly one point. EF is to none of the lines in plane m. Always Sometimes Never 10. Point X and EF determine a plane. Always Sometimes Never 11. Point X and EF are coplanar. Always Sometimes Never 12. EF and VW are both to plane w. EF and VW are coplanar. Always Sometimes Never 13. EF and VW are both in plane w. EF and VW are skew. Always Sometimes Never 14. Given: m||n F FG , AC , and DB m A D all intersect at point E E CB DA Prove: GB FD n B C G HONORS GEOMETRY Chapter 6 Review ANSWERS 1. AB , 2. XY Always Sometimes Never CK BC and CD are coplanar and RT are skew lines. Points X, R and T are coplanar. Always Sometimes Never 3. and VW are parallel lines. If a line is to CK then it is to VW Always Sometimes Never 4. If AB is to plane m, plane m // plane n, then AB plane n. Always Sometimes Never 5. 6. EF intersects plane m at exactly two points. A line is to exactly one line in a plane. Always Sometimes Never Always Sometimes Never 7. and AB are parallel lines. If a line is // to EF then it is // to AB Always Sometimes Never 8. A line is to exactly two lines in a plane. Always Sometimes Never 9. EF EF intersects plane m at exactly one point. EF is to none of the lines in plane m. Always Sometimes Never 10. Point X and EF determine a plane. Always Sometimes Never 11. Point X and EF are coplanar. Always Sometimes Never 12. EF and VW are both to plane w. EF and VW are coplanar. Always Sometimes Never 13. EF and VW are both in plane w. EF and VW are skew. Always Sometimes Never 14. Given: m||n F FG , AC , and DB m A D all intersect at point E E CB DA Prove: n GB FD B C G 1. m||n 1. given 2. FG , AC , and DB all intersect at point E 2. given 3. CB DA 3. given 4. points F, G, B, and D are coplanar 4. intersecting lines determine a plane 5. points C, B, D, and A are coplanar 5. intersecting lines determine a plane 6. FD || BG 8. ECB EAD 6. if a plane intersects 2 parallel planes then the lines of intersection are parallel 7. if a plane intersects 2 parallel planes then the lines of intersection are parallel 8. if || lines alternate interior s are 9. EBC EDA 9. if || lines alternate interior s are 10. ECB EAD 10. ASA (9,3,8) 11. EB ED 11. CPCTC 12. FED GEB 12. vertical s are 13. EBG EDF 13. if || lines alternate interior s are 14. EBG EDF 14. ASA (13,11,12) 15. GB FD 15. CPCTC 7. FD || BG