Geometry Fall Week 7 HW Answer Key

Students, if you find any errors let me know. The formatting also didn't come out how I liked it. Note: #19 should be JR instead of JK. Proofs out of 3 points- 1 for attempt, 1 for being logical, 1 for correct answer.

Ch.6
14. Statements- 1)Givens 2)BM=ME 3)AM=DM 4) Tri.ABM=Tri.DEM
Reasons- 1)Given 2)Definition of midpoint 3)Substitution 4)SSS postulate

15. Statements- 1)Givens 2)Angle1=Angle2 3)Ang.2=Ang.A 4)Angle1=AngleD
5)Ang.A=Ang.D 6)Ang.AMB=Ang.DME 7)BM=ME 8)Tri.ABM=Tri.DBM
Reasons- 1)Given 2) Definition of angle bisector 3)Alternate interior angles
4)Alternate interior angles 5)Substitution 6)Complements of congruent
angles are congruent 7)Definition of bisector 8)AAS postulate

16. Statements- 1)Givens 2)Ang.BDC=Ang.AFC 3)Ang.C=Ang.C 4)Tri.AFC=Tri.BDC
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Reflexive property 4)ASA
postulate

19. Statements- 1)Givens 2)Ang.KLG=Ang.JRG 3)Ang.G=Ang.G 4)Tri.KLG=Tri.JRG
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Reflexive property
4)AAS postulate

+5/12

Ch.7
4A)76
4B)20
4C)40
4D)32
4E)16
4F)36

8. Statements- 1)Givens 2)PS=PK 3)Ang.P=Ang.P 4)Tri.KXP=Tri.JPY 5)KX=JY
Reasons- 1)Given 2)Addition property 3)Reflexive property 4)SAS postulate 5)CPCTC

15. Statements- 1)Givens 2)Ang.RTL=Ang.RSL 3)RL=RL 4)Tri.RLS=Tri.RLT
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Reflexive property
4)Hypotenuse Leg Theorem

23. Statements- 1)Givens 2)Ang.1=Ang.2 3)Ang.3=Ang.4 4)Tri.KOV=Tri.VLZ 5)KV=VZ
6)Tri.KVL is isosceles
Reasons- 1)Given 2)Base angles theorem 3)Supplement of congruent angles are
congruent 4)SAS postulate 5)CPCTC 6)Definition of isosceles triangle

24. Statements- 1)Givens 2)HJ=JL 3)Ang.HJB=Ang.KJL 4)Tri.BLH=Tri.KJL 5)JB=JK
Reasons- 1)Given 2)Base angles theorem 3)Vertical angles are congruent 4)ASA
postulate 5)CPCTC
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Cumulative Exercises Ch.1-7
10. Statements- 1)Givens 2)Ang.FDA=Ang.GEC 3)AD=EC 4)Ang.AFD=Ang.CGE
5)Tri.AFD=Tri.GEC 6)Ang.A=Ang.C 7)Tri.ABC is isosceles
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Subtraction property
4)Supplementary angles of congruent angles are congruent 5)AAS
postulate 6)CPCTC 7)Definition of isosceles triangle

11a. Statements-1)Givens 2)Ang.STR=Ang.BRT 3)Ang.BRT=Ang.SRT 4)Ang.STR=Ang.SRT
5)RS=ST
Reasons- 1)Given 2)Alternate interior angles are congruent 3)Definition of
angle bisector 4)Substitution 5)Base angles theorem
11b. Statements- 1)Givens 2)SM=SM 3)RS=ST 4)RM=RT 5)Tri.SMT=Tri.RSM
6)Ang.RSM=Ang.TSM 7)SM bisects Ang.RST
Reasons- 1)Given 2)Reflexive property 3)Base angles theorem(refer to 11a)
4)Definition of midpoint 5)SSS postulate 6)CPCTC 7)Definition of angle
bisector
13a. Statements- 1)Givens 2)AF=BD 3)Tri.AFG=Tri.BDE
Reasons- 1)Given 2)Addition property 3)ASA postulate

13b. Statements- 1)Givens 2)AC=BC 3)AG=BE 4)GC=EC
Reasons- 1)Given 2)Base angles theorem 3)CPCTC(refer to 13a) 4)Subtraction
property

14. Statements- 1)Givens 2)Ang.PQM=Ang.NQR 3)KQ=QL 4)MQ=QN 5)Tri.KQM=Tri.LQN
6)Ang.L=Ang.K 7)NL=KM 8)Tri.NRL=Tri.KPM 9)PM=NR
Reasons- 1)Given 2)Vertical angles are congruent 3)Definition of bisect
4)Definition of bisect 5)SAS postulate 6)CPCTC 7)CPCTC 9)ASA postulate
10)CPCTC

+5/18