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ANSWERS FOR 2.6 For use with pages 112–116 2.6 Guided Practice 2. Yes; the angle formed by the blades and the angle formed by the handles are an example of vertical angles, which are congruent. 4. no 6. no 8. yes 2.6 Practice and Applications 10. Given mA mB Symmetric property of equality Definition of congruent angles 12. 28 14. 34 16. 59 Geometry Answer Transparencies Copyright © McDougal Littell Inc. 18. m1 m2 90 m3 m4 90 20. XYZ VYW, XYV ZYW 22. ABC DBF, ABD CBF 24. 3 and 2 are complementary. m1 m2 90 Given m3 m2 90 Definition of complementary angles m1 m2 m3 m2 Transitive property of equality m1 m3 Subtraction property of equality 3 1 Definition of congruent angles Definition of congruent angles Substitution property of equality Subtraction property of equality 1 3 36 ANSWERS FOR 2.6 (CONT.) For use with pages 112–116 26. 5 6 Given 5 4, 6 7 Vertical Angles Theorem m5 m6, m5 m4, m6 m7 Definition of congruent angles 32. Congruent Complements Theorem 36. C m6 m4 Transitive property of equality 38. 28 40. 43 42. w 3 44. y 2 m4 m7 Transitive property of equality Quiz 2 3y 4y 35 y 35 Geometry Answer Transparencies Copyright © McDougal Littell Inc. m4 90 52 38. m3 90 52 38. 4 3 by the definition of congruent angles. 34. B 4 7 Definition of congruent angles 28. 30. Yes; y 35 36z 7 10z 45 18z 21 10z 45 8z 21 45 2. x 8 27 x 19 Subtraction property of equality 4. 2x 20 4x 12 20 2x 12 Subtraction property of equality 32 2x Addition property of equality 16 x Division property of equality 8z 24 z3 37 ANSWERS FOR 2.6 (CONT.) For use with pages 112–116 6. 22x 4 16 4x 8 16 Distributive property 4x 24 Addition property of equality x6 Division property of equality 8. EH GH, FG GH Given Geometry Answer Transparencies Copyright © McDougal Littell Inc. EH FG Transitive Property of Segment Congruence 38