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Answers to 2-3 side of WS. 1) Def. of midpt. 9) Def. of Seg. Bisct. 2) Def. of angle bisct. 10) 55 11) 65 3) Mdpt. Thm 12) 80 13) 9 4) Ang. Bisc. Thm. 14) 8 15) 4.5 5) Mdpt. Thm. 16) 3.5 6) Seg. Add. Post. 17) Given, Definitions, 7) Ang. Add. Post Postulates, Properties,
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Answers to 2-3 side of WS 1) Def. of midpt. 9) Def. of Seg. Bisct. 2) Def. of angle bisct. 10) 55 11) 65 3) Mdpt. Thm 12) 80 13) 9 4) Ang. Bisc. Thm. 14) 8 15) 4.5 5) Mdpt. Thm. 16) 3.5 6) Seg. Add. Post. 17) Given, Definitions, 7) Ang. Add. Post Postulates, Properties, 8) Ang. Add. Post. Theorems
54,144 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 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 Answers To 2-4 WS
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)
Theorem • If two lines are perpendicular, then they form congruent adjacent angles • If two lines form congruent adjacent angles, then they are perpendicular. l Angles 1,2,3,4 are right angles. 1 2 m 3 4
Theorem • If the exterior sides of 2 acute, adjacent angles are perpendicular, then the angles are complementary. If sides ┴, m 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