Answers to 2-3 side of WS 1) Def. of midpt. 2) Def. of angle bisct. 3) Mdpt. Thm 4) Ang. Bisc. Thm. 5) Mdpt. Thm. 6) Seg. Add. Post. 7) Ang. Add. Post 8) Ang. Add. Post. 9) Def. of Seg. Bisct. 10) 55 11) 65 12) 80 13) 9 14) 8 15) 4.5 16) 3.5 17) Given, Definitions, Postulates, Properties, Theorems Answers To 2-4 WS 1. 54,144 2. 85, 175 20, 110 61, 151 40.8, 130.8 None, 12 79, 169 (90-2x), (180-2x) VIE RIN RIV or RIE or RIN 48 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 90 24. x=29, C=39 14. 40 D= 51 15. 100 25. y=26, E=127 16. 60 F= 53 17. 30 26. y = 35, E=26 18. 50 F= 154 19. 130 20. 120 21. x=44 22. x=23 23. x=24, C=72, D=18 2-5 Perpendicular Lines **Flashcards due Tuesday!!** Perpendicular Lines Two lines that intersect to form right angles (90°). Symbol: ┴ Definition: – – If you have perpendicular lines, then the angles are 90°. If you have 90° angles, then the lines are perpendicular. (converse) l m Theorem If two lines are perpendicular, then they form congruent adjacent angles l Angles 1,2,3,4 are right angles. 1 2 3 4 m If two lines form congruent adjacent angles, then they are perpendicular. Theorem If the exterior sides of 2 acute, adjacent angles are perpendicular, then the angles are complementary. m If sides ┴, then 1 and 2 are complements p 2 1 n TOO Page 57 #6-11 Answers: 6) Definition of Perpendicular Lines 7) Definition of Perpendicular Lines 8) If 2 lines are perpendicular, then they form congruent adjacent angles 9) Definition of Perpendicular Lines 10) If 2 lines form congruent adjacent angles, then they are perpendicular 11) Definition of Perpendicular Lines In closing . . . How can prove that two lines are perpendicular? – – There is a right angle They form congruent adjacent angles Homework Page 58-60 #1-25 and 28 (6 steps)*see board for set-up help Flash Cards – Perpendicular