Chapter 4 Answer Set


1. True 2. False
3. b 4. b
5. c 6. d
7. b 8. c
9. b 10. a
11. b 12. b
13. d 14. a
15a. x = 6
y = -2
15b. x = -3
y = 5
16. Dot Grid Figure 17. Not Congruent
18. AEC
SSS Postulate
19. CEA
SAS Postulate
20. DEC
ASA Postulate or AAS Theorem
21. ADC
HL Theorem
22. DCB
SSS Postulate
23. Not Congruent
24. angle B is congruent to angle F 25. angle B is congruent to angle F
26. angle A is congruent to angle E 27. segment AC is congruent to segment EG
28. 1S. BC ll DE
1R. Given
2S. Angle ABC congruent to angle FDE
2R. Parallel lines » Corresponding angles are congruent
3S. AC ll FE
3R. Given
4S. Angle BAC congruent to angle DFE
4R. Parallel lines » Corresponding angles are congruent
5S. Segment AB congruent to segment FD
5R. Given
6S. Triangle ABC congruent to triangle FDE
6R. ASA Postulate
29. 1S. Ray BC bisects angle ABE
1R. Given
2S. Angle ABC congruent to angle EBC
2R. Definition of an angle bisector
3S. Segment AB congruent to segment BE
3R. Given
4S. Segment BC congruent to segment BC
4R. Reflexive property of congruence
5S. Triangle ABC congruent to triangle EBC
5R. SAS Postulate
6S. Segment AC congruent to segment CE
6R. CPCTC
30. x = 21
y = 35
31. x = 1
y = 3
32. Angle ABC = 90° 33. x = 11
34. x = 34°
y = 56°
35. x = 58°
y = 32°

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