Chapter 4 Review Answers

  1. right, scalene2. obtuse isosceles

3. equilateral, equiangular4. 51

5. 186. <T

7. 488. SP

9. HS10. 73

11. JTM12. x = 17, y = 17

13. yes, SSS (XZ XZ)14. no

15. yes, SAS16. yes, HL or AAS

17.

  1. PN bisects <MNOa. given
  2. <MNP <ONPb. def of bisector
  3. MN ONc. given
  4. NP NPd. reflexive
  5. MNP ONPe. SAS

18.

a. AB ADa. given

b. BC CDb. given

c. AC ACc. Reflexive

d. ABC ADCd. SSS

19.

a. AD CBa. given

b. AD ll CBb. given

c. <CAD <BCAc. alt. int. <’s are congruent

d. AC ACd. Reflexive

e. ABC CDAe. SAS

20. <C <F21. <C <F

22. CB FE23. <A <D

24.

a. given

b. alt. int. angles are congruent

c. given

d. VARC

e. ASA

25. ADY YBA26. TUA VUA

a. <D <Ba. <T <V

b. <DAY <BYAb. <TAU <VAU

c. <DYA <BAYc. <TUA <VUA

d. AD YBd. TU VU

e. DY BAe. UA UA

f. AY YAf. TA VA

27. NKH TMG 28.

a. <K <Ma. given

b. <N <Tb. given

c. <KHN MGTc. def. of bisector

d. NK TMd. reflexive

e. KH MG e. SAS

f. NH TGf. CPCTC

29.

a. MZ NTa. given

b. MQ ll NTb. given

c. <NTM <QMTc. alt. int. angles are congruent

d. MT MTd. reflexive

e. QMT NTMe. SAS

f. MN TQf. CPCTC

30.

  1. O is the midpoint of NPa. given
  2. NO POb. def. of midpoint
  3. <SON <POPc. VARC
  4. <N <Pd. given
  5. SON ROPe. ASA
  6. SO ORf. CPCTC
  7. O is the midpoint of SRg. def. of midpoint

31. 1, 332. 11, 8

33. GR GH34. TN & HN

35. G36. x = 72, y = 36

37. x = 45, y = 13538. x = 18

39. x = 22.540. BONUS