Skills Practice Workbook - Glencoe

Skills Practice Workbook - Glencoe Skills Practice Workbook - Glencoe

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6–3 NAME DATE PERIOD Skills Practice Angle Bisectors of Triangles In �ACD, D�B�� bisects �ADC, and C�E�� bisects �ACD. 1. If m�1 � 40, what is m�2? 40 2. Find m�ACD if m�4 � 25. 50 3. What is m�3 if m�ACD � 36? 18 4. If m�1 � 45, what is m�ADC? 90 5. What is m�DCA if m�DCE � 20? 40 6. Find m�ADB if m�BDC � 39. 39 7. What is m�ACD if m�4 � 18? 36 8. Find m�2 if m�1 � 43. 43 9. If m�3 � 21, what is m�4? 21 10. What is m�ECD if m�ECA � 24? 24 In �MOR, M�P� bisects �OMR, R�N� bisects �MRO, and O�S� bisects �MOR. 11. Find m�6 if m�MOR � 34. 17 12. What is m�OMR if m�1 � 23? 46 13. If m�3 � 55, what is m�4? 55 14. What is m�MOS if m�MOR � 32? 16 15. Find m�1 if m�2 � 27. 27 16. If m�4 � 60, what is m�MRO? 120 17. What is m�SOR if m�6 � 15? 15 18. If m�MRP � 112, what is m�3? 56 19. Find m�OMP if m�PMR � 30. 30 20. What is m�4 if �MRO is a right angle? 45 © Glencoe/McGraw-Hill 33 Geometry: Concepts and Applications M D E 1 2 2 1 S A N 3 4 R B 3 4 6 5 P C O

6–4 Isosceles Triangles NAME DATE PERIOD Skills Practice Find the values of the variables for each triangle. 1. A 2. D 3. X Z 10 a° b F 40° y° x° E Y 54° c° C 60° 60° B d° A B a � 60; b � 10 x � 40; y � 100 c � 54; d � 63 4. B 5. C 6. x° y 4 45° W O x � 45; y � 4 a � 60; b � 68 x � 70; y � 110 7. W X 8. S 9. b° a° R 60° Y 24° a � 102; b � 78 x � 90; y � 60 a � 60; b � 64 10. 11. 12. a � 45; x � 90 c � 92; d � 44 a � 46; b � 96 Use the figure at the right. 13. In �ADF, if AD � x � 6 and DF � 3x � 10, what is AD? 14 14. In �ADH, if m�ADH � 2x � 4, find the value of x. 24 P 60° a° A b° x° A x° a° d° 15. If AH � 5x � 1 and FH � 3x � 21, what is AH? 54 16. In �ADF, what is m�ADF? 88 y° 44° M 45° c° 44° © Glencoe/McGraw-Hill 34 Geometry: Concepts and Applications T D R 40° x° y° C A a° E 42° Z b° b° 46° A H F D a° 88° B 52°

6–4<br />

Isosceles Triangles<br />

NAME DATE PERIOD<br />

<strong>Skills</strong> <strong>Practice</strong><br />

Find the values of the variables for each triangle.<br />

1. A<br />

2. D<br />

3. X Z<br />

10<br />

a°<br />

b<br />

F<br />

40°<br />

y°<br />

x°<br />

E<br />

Y<br />

54° c°<br />

C<br />

60° 60°<br />

B<br />

d°<br />

A<br />

B<br />

a � 60; b � 10 x � 40; y � 100 c � 54; d � 63<br />

4. B<br />

5. C<br />

6.<br />

x°<br />

y<br />

4 45°<br />

W O<br />

x � 45; y � 4 a � 60; b � 68 x � 70; y � 110<br />

7. W X<br />

8. S<br />

9.<br />

b° a°<br />

R 60°<br />

Y<br />

24°<br />

a � 102; b � 78 x � 90; y � 60 a � 60; b � 64<br />

10. 11. 12.<br />

a � 45; x � 90 c � 92; d � 44 a � 46; b � 96<br />

Use the figure at the right.<br />

13. In �ADF, if AD � x � 6 and DF � 3x � 10,<br />

what is AD? 14<br />

14. In �ADH, if m�ADH � 2x � 4, find the<br />

value of x. 24<br />

P 60° a° A<br />

b°<br />

x°<br />

A<br />

x° a° d°<br />

15. If AH � 5x � 1 and FH � 3x � 21, what is<br />

AH? 54<br />

16. In �ADF, what is m�ADF? 88<br />

y°<br />

44°<br />

M<br />

45°<br />

c°<br />

44°<br />

© <strong>Glencoe</strong>/McGraw-Hill 34 Geometry: Concepts and Applications<br />

T<br />

D<br />

R<br />

40°<br />

x° y°<br />

C A<br />

a°<br />

E<br />

42°<br />

Z<br />

b°<br />

b°<br />

46°<br />

A H F<br />

D<br />

a°<br />

88°<br />

B<br />

52°

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