Answers to 2-3 side of WS 1) Def. of midpt.9) Def. of Seg. Bisct. 2) Def. of angle bisct.10) 5511) 65 3) Mdpt. Thm12) 8013) 9 4) Ang. Bisc. Thm.14) 815) 4.5 5) Mdpt. Thm.16) 3.5 6) Seg. Add. Post.17) Given, Definitions, 7) Ang. Add. PostPostulates, Properties, 8) Ang. Add. Post.Theorems
Answers To 2-4 WS 1. 54, , , , , None, , (90-2x), (180-2x) 9. VIE 10. RIN 11. RIV or RIE or RIN x=29, C= D= y=26, E= F= y = 35, E= F= x= x= 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)
Theorem If two lines are perpendicular, then they form congruent adjacent angles If two lines form congruent adjacent angles, then they are perpendicular. m l Angles 1,2,3,4 are right angles.
Theorem If the exterior sides of 2 acute, adjacent angles are perpendicular, then the angles are complementary. 1 2 If sides ┴, then 1 and 2 are complements m p 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 #1-25 and 28 (6 steps)*see board for set-up help Flash Cards – Perpendicular