Fall Semester Review Answers

Note: Not fully completed but it is what I have so far. Have 3 tests this week so the whole thing will probably be posted on Friday.

1)a-F
b-F
c-F
d-T
e-F
f-F
g-F
h-F

2)a- isosceles
b- parallelogram
c- AD,BC or AB,CD
d- rectangle
e- BD
f- rectangle

3)1-DCE
2-Given
3-Given
4-Reflexive Property
5-DCE, SSS
6-DCE, CPCTC
7-ADC
8-Given
9-Reflexive Property
10-ACD, Supplementary to congruent angles
11-ADC, SAS
12-DAC, CPCTC
13-BAC=DAC

4)TBP

5)Statements-1)Givens 2)BA=BE 3)BA=CD 4)BE=CD 5)Ang.EFB=Ang.DFC 6)Ang.BEF=Ang.CDF
7)Tri.BEF=Tri.CDF 8)EF=FD
Reasons- 1)Given 2)Definition of midpoint 3)Definition of parallelogram
4)Substitution property 5)Vertical Angles are congruent 6)Alternate Interior Angles
are congruent 7)AAS Postulate 8)CPCTC

Swim Workout 15

Warmup: 400 choice

8 x 25s-underwater dolphin kick to 15m all-out on :45

2x(1 time free, 1 stroke):
[3 x 200s- kick on 4:30
4 x 100s- heart rate 150]

20 x 50s- 3 breaths per 50 on 1:00

100 cooldown

Swim Workout 14

Warmup: 5 x 100s- 1 swim, 1 kick, 1 IM, 1 pull, 1 swim

4 x 100s IM on 1:40- Odds- drill
Evens- swim

3 x 100s kick on 1:50- Stroke

2 x 100s free swim on 1:30

5 x 200s- Descend 1-5 on 3:00

8 x 75s- First 50 IM stroke in reverse IM order, last 25 is free.

100 easy

Swim Workout 13

Warmup: 500 free (100 free, 100 back, 100 free, 100 breast, 100 free)

6 x 100s- 50 kick, 50 swim (1 fly, 1 back , 1 breast - twice through)

4x (4 x 25s Odds- 8 underwater dolphin kick then swim
Evens- Sprint no breather
3 x 50s- mid-pool turns)

4x (3 x 200s- broken in to 50s w/ 10 second rest. Descend 1-3.
100 all-out off start) 2 times through free, 2 times through stroke.

100 easy

Geometry Fall Week 8 HW Answer Key

Note: I made a typo. You do not need to do #24. As usual, if you find any errors, please let me know.

3. Square

4. (1)

9. EF = 19
RT = 38

10a. BE = 83/2
YT = 57/2

10b. YT = 45
LM = 41
BE = 47

13. Statements- 1)Givens2)BA=CD 3)Ang.BAE=Ang.DCF 4)Tri.BAE=Tri.CFD 5)Ang.ABE=Ang.CDF
Reasons- 1)Given 2)Theorem 9.4- Opposite sides of a parallelogram are congruent
3)Theorem 9.3 or Alternate interior angles 4)SAS postulate 5)CPCTC

15. Statements- 1)Givens 2)BA=CD 3)AB=BE 4)BE=CD 5)Ang.EFB=Ang.DFC 6)AD//BC
7)Ang.EBF=Ang.DFC 8)Tri.DFC=Tri.EBF 9)EF=FD
Reasons- 1)Given 2)Theorem 9.4 3)Definition of midpoint 4)Substitution
5)Vertical angles are congruent 6)Definition of a parallelogram
7)Alternate interior angles 8)AAS postulate 9)CPCTC

20. Statements- 1)Givens 2)Ang.B=Ang.D 3)Ang.SBR=Ang.SDR 4)Ang.A=Ang.C
5)Ang.CSD=Ang.ARB 6)Ang.BRD=Ang.DSB 7)BRDS is a parallogram
Reasons- 1)Given 2)Theorem 9.2- Opposite angles in a parallelogram are congruent
3)Halves of congruent angles are congruent 4)Theorem 9.2
5)In a triangle, if two angles are congruent then the third must be congruent
6)Supplements of congruent angles are congruent 7)Definition of a
parallelogram

26) Statements- 1)Givens 2)AW//TC 3)BC//WT 4)AC//WT 5)WACT is a parallelogram
Reasons- 1)Given 2)Segments of parallel lines are parallel 3)Theorem 9.12
4)Extensions of parallel lines are parallel 5)Definition of a
parallelogram

+6/21

Geometry Fall Week 6 HW Answer Key

As usual, let me know if there are any errors.
Week 6 answer key:
1) SAS or ASA(do not use SSA)

2) Median line should go from one point and bisect the line across from that point.

3) In book(chapter 7 pg.134).

4) Note: Change “One side” to vertex length. The other two sides are 22.5 cm (only one possibility).

5) 40 degrees.

6) 120 degrees for the upmost and bottom angle. The rest are 30 degrees.

7) a- Yes. B- No.(AAA) c- No.(SSA) d-Yes.

8) Smallest- angle C. Largest- angle A.

9) The side across the 80 degree is longest. The side across 50 degrees is smallest.

10) BC < AC < AB

11) 7

12) 19

Proofs
1) Statements- 1)Givens 2) angle QLM = angle QML 3) angle QLM = angle QPR and angle
QML = angle QRP 4) angle QPR = angle QRP
Reasons- 1) Given 2) base angle theorem 3) corresponding angles 4) substitution
or definition of isosceles triangle

2) Statements- 1)Given 2) BC = BC 3) triangle ACB = triangle DBC 4) angle 1 = angle 2
Reasons- 1) given 2)Reflexive property 3) hypotenuse leg postulate 4) CPCTC

3) Not graded. :D

4) 1) BD bisects angle ABC
2) Definition of Bisector
3)Measure of exterior angle is greater than measure of nonadjacent interior
angles
4) Measure of angle greater than measure of angle 1
5) AB greater than AD

+3/27

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
+5/15


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

Swim Workout 12

Warmup:
300 Choice
100 Kick
100 Pull

10 x 50s choice swim on 1:00
Odds: 25swim/25drill
Evens: 25kick/25kick sprint

4 x 100s choice on :20 sec. rest
50 drill/ 50 swim

6 x 50s on 1:00
Odds: Free
Evens: Choice

Swim Workout 11

200 Choice

35x100
1-5 Kick with fins on 1:40
6-10 Free with fins on 1:30
11-15 Free pull on 1:40
16-20 IM Swim on 1:40
21-25 Free Swim on 1:30
26-30 Free Swim on 1:25
31-35 Kick on 1:50