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1.midsegment 3. 13 4. 10 5. 6 7. 8. 9. 10. 11. 24. x = 2, AB = 14 25. y = 6, HB = 13 26. z = 5, GH = 34 47. x = 10, LN = 29 48. x = 5, LN = 40 49. x = 7, LN = 50 5.1 HW pg. 298-301 #1, 3-11, 24-26, 47-52 YZ XZ , JX LK , XK KZ , YL LZ

midsegment3. 134. 10 5. 67. 8. 9. 10.11

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5.1 HW pg. 298-301 #1, 3-11, 24-26, 47-52. midsegment3. 134. 10 5. 67. 8. 9. 10.11. 24. x = 2, AB = 1425. y = 6, HB = 13 26. z = 5, GH = 3447. x = 10, LN = 29 48. x = 5, LN = 4049. x = 7, LN = 50. - PowerPoint PPT Presentation

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Page 1: midsegment3.  134.  10 5.  67. 8. 9.  10.11

1. midsegment 3. 13 4. 10

5. 6 7. 8.

9. 10. 11.

24. x = 2, AB = 14 25. y = 6, HB = 13

26. z = 5, GH = 34 47. x = 10, LN = 29

48. x = 5, LN = 40 49. x = 7, LN = 50

5.1 HW pg. 298-301 #1, 3-11, 24-26, 47-52

YZ XZ

,JX LK ,XK KZ ,YL LZ

Page 2: midsegment3.  134.  10 5.  67. 8. 9.  10.11

50. SSS, XWY ZYW

51. ASA, ABC ADC

52. AAS, PSR RQP

5.1 HW pg. 298-301 #1, 3-11, 24-26, 47-52

Page 3: midsegment3.  134.  10 5.  67. 8. 9.  10.11

1. Circumcenter 3. x = 3, AB = 15

4. x = 12, AB = 30 5. x = 6, AB = 55

11. 35 12. y = 7, JK = 43

13. 50 14. 50

15. Yes, bisector converse 16. 9

5.2 HW pg. 306-307 #1, 3-5, 11-16, 19, 26, 37, 38

Page 4: midsegment3.  134.  10 5.  67. 8. 9.  10.11

19.

5.2 HW pg. 306-307 #1, 3-5, 11-16, 19, 26, 37, 38

Page 5: midsegment3.  134.  10 5.  67. 8. 9.  10.11

26.

5.2 HW pg. 306-307 #1, 3-5, 11-16, 19, 26, 37, 38

is the bisector of Given

Def. of lines

Def. of bisector

CP AB

APC BPC

AB PB

CP CP

�������������� �

Reflexive

SAS

CPCTC

APC BPC

CA CB

Page 6: midsegment3.  134.  10 5.  67. 8. 9.  10.11

37. x = 18, ABC = 158° 38. x = 9, ABC = 90°

5.2 HW pg. 306-307 #1, 3-5, 11-16, 19, 26, 37, 38

Page 7: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.3 HW pg. 313-314 #1, 3-7 odd, 10, 11-15 odd, 18, 19, 23, 26WS: Constructing the Incenter and Angle Bisector Theorem

1. Bisector 3. 20° 5. 9

7. No, not 10. Yes, converse of angle bisector

11. No, not 13. x = 4

15. No, not to sides 18. B

19. 9 23. C

Page 8: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.3 HW pg. 313-314 #1, 3-7 odd, 10, 11-15 odd, 18, 19, 23, 26WS: Constructing the Incenter and Angle Bisector Theorem

26. They are congruent to the sides of the triangle

Page 9: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.3 HW pg. 313-314 #1, 3-7 odd, 10, 11-15 odd, 18, 19, 23, 26WS: Constructing the Incenter and Angle Bisector Theorem

1.

Page 10: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.3 HW pg. 313-314 #1, 3-7 odd, 10, 11-15 odd, 18, 19, 23, 26WS: Constructing the Incenter and Angle Bisector Theorem

2.

Page 11: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.3 HW pg. 313-314 #1, 3-7 odd, 10, 11-15 odd, 18, 19, 23, 26WS: Constructing the Incenter and Angle Bisector Theorem

3.

Page 12: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.4 HW pg. 322-324 #3-7, 17-19, 34, 35WS: Constructing the Centroid and Orthocenter

3. 12 4. 9 5. 10

6. 5 7. D 17. altitude

18. Angle bisector 19. Median 34. x = 9

35. x = 4

Page 13: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.4 HW pg. 322-324 #3-7, 17-19, 34, 35WS: Constructing the Centroid and Orthocenter

1.

Page 14: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.4 HW pg. 322-324 #3-7, 17-19, 34, 35WS: Constructing the Centroid and Orthocenter

2.

Page 15: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.5 HW pg. 331-334 #7-11 odd, 12, 17-25 odd, 33-34

7. Angles Sides 9. Angles Sides

11. Angles Sides 12. C

Z XY

X YZ

Y XZ

J KL

K JL

L JK

G FD

D FG

F DG

Page 16: midsegment3.  134.  10 5.  67. 8. 9.  10.11

5.5 HW pg. 331-334 #7-11 odd, 12, 17-25 odd, 33-34

17. No, 3 + 6 is not greater than 9

19. Yes 21. 7 < x < 17

23. 6 < x < 30 25. 16 < x < 64

33. 2 < x < 15 34.7

135

x

Page 17: midsegment3.  134.  10 5.  67. 8. 9.  10.11

Ch 5 Review pg. 344-347 #1, 3-7, 9-12, 16, 17, 19-23 pg. 348 #4-6, 9-12

1. bisector 3. B 4. A

5. C 6. 36 7. 45

9. 10. x = 5 11. 25

12. 5 16. 6 17. 3.5

19. 4 < x < 12 20. 3 < x < 15 21. 8 < x < 32

Page 18: midsegment3.  134.  10 5.  67. 8. 9.  10.11

P QR

Q PR

R PQ

22. Angles Sides 23. Angles Sides

4. x = 2, bisector theorem 5. x = 3, bisector theorem

6. x = 7, bisector converse 9. PL = 12, PS = 24

10. TJ = 30, PJ = 10 11. JS = 25, RS = 50

12. No, 9 + 12 isn’t greater than 22

Ch 5 Review pg. 344-347 #1, 3-7, 9-12, 16, 17, 19-23 pg. 348 #4-6, 9-12

N LM

L MN

M LN