Answers to 2 3 side of ws
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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
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


Answers to 2 4 ws

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

2-5 Perpendicular Lines

**Flashcards due Tuesday!!**


Perpendicular lines
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
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


Theorem1
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


Answers to 2 3 side of ws
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
In closing . . .

  • How can prove that two lines are perpendicular?

    • There is a right angle

    • They form congruent adjacent angles


Homework
Homework

  • Page 58-60 #1-25 and 28 (6 steps)*see board for set-up help

  • Flash Cards

    • Perpendicular