1. C 2. E 3. F4. A 5. B 6. D
14. x = 60° 15. x = 30 16. x = 134
17. x = 47 18. x = 36 21. 50°
22. 130° 23. 50° 24. 130°
25. 40° 26. 30° 32. y = 32°
33. x = 118°, y = 96° 35. x = 26°, y = 64°
15. x = 20 16. x = 11
4.1 HW pg. 221 #1-6, 14-18, 21-26, 32, 33, 354.2a HW pg. 229 #15, 16
3.
BCA EFD
5. 124° 6. 33° 7. 8
8. 9. ZYX 10. NML
21. B
4.2b HW pg. 228 #3, 5-10, 214.3 HW pg. 237 #1-7, 16, 17, 24, 26
A D
B E
C F
AB DE
BC EF
AC DF
NL
1. Angles 2. Neither 3. Sides
4. Neither 5. No, RST PQT 6. Yes, SSS
7. Yes, SSS 16. B 17. B
24.
4.2b HW pg. 228 #3, 5-10, 214.3 HW pg. 237 #1-7, 16, 17, 24, 26
Given
Given
Reflexive
GHJ SSS
GH JK
HJ KG
GJ GJ
JKG
26.
4.2b HW pg. 228 #3, 5-12, 214.3 HW pg. 237 #1-7, 16, 17, 24, 26
Given
Given
is the midpt. of Given
Def. of Midpt
SSS
AE CE
AB CD
E BD
BE ED
EAB ECD
1. Included 3. XYW 5. ZWY
7. XYZ 8. Not enough 9. Enough
10. Enough 11. Not enough 13. Enough
14. Not enough 20. Not enough 21. SAS
25.
27.
4.4 HW pg. 243 #3-7odd, 9-11, 13, 14, 20, 21, 25, 27, 35, 37, 38
AC DF
BC EF Mark Pictures!
35.
4.4 HW pg. 243 #3-7odd, 9-11, 13, 14, 20, 21, 25, 27, 35, 37, 38
bisects Given
Def. of angle bisector
Given
Reflexive
SAS
PQ SPT
SPQ TPQ
SP TP
PQ PQ
SPQ TPQ
37.
4.4 HW pg. 243 #3-7odd, 9-11, 13, 14, 20, 21, 25, 27, 35, 37, 38
Given
Reflexive
& are right triangles Given
JM LM
KM KM
JKM LKM
JKM LKM
HL
38.
4.4 HW pg. 243 #3-7odd, 9-11, 13, 14, 20, 21, 25, 27, 35, 37, 38
is the midpoint of Given
Def. of midpt
Reflexive
Given
SAS
D AC
AD DC
BD BD
ADB CDB
ABD CBD
4.5 WS
GivenDef. of angle bisector
GivenReflexive
AAS
1.
Given
Given
Vertical Angles
AAS
BE BC
A D
ABE DBC
ABE DBC
2.
4.5 WS
Given
Alternate Interior Angles
Given
Reflexive
ASA
AB DC
ABD CDB
ADB CBD
BD BD
ABD CDB
3.
4.5 WS
Given
Given
Reflexive
AAS
XYW ZWY
WXY YZW
WY WY
ZWY XYW
4.
4.5 WS
Given
Given
Vertical Angles
AAS
D C
AB EB
ABD EBC
DBA CBE
5.
4.5 WS
1.
4.6 WS
Given
Def. of midpoint
Def. of midpoint
SAS
CPCTC
Vertical angles
2.
4.6 WS
Given
Given
Reflexive
SSS
CPCTC
VW XY
WX YV
VX VX
YVX WXV
Y W
3.
4.6 WS
bisects Given
Def. of segment bisector
Given
Vertical Angles
AAS
R QT
QR RT
U S
QRU TRS
QUR TSR
ST U
CPCTCQ
4.
4.6 WS
Given
& are right angles Def. of lines
& are right triangles Def. of right angle
DB AC
ABD CBD
ABD CBD
AD CD
Given
Reflexive
HL
BD BD
ABD CBD
AB CB
CPCTC
5.
4.6 WS
is the midpoint of Given
Def. of midpoint
Given
Vertical Angles
B DC
DB BC
D C
ABD EBC
AB
ASA
CPCTC
D EBC
A E
Marking Triangles Worksheet
1.
______ _______
by ____________
2.
______ _______
by ____________
ABC ECD
SAS
ACB ECD
AAS
3.
______ _______
by ____________
4.
______ _______
by ____________
ABC ECD
AAS
ABC EDC
AAS
Marking Triangles Worksheet
Marking Triangles Worksheet
5.
______ _______
by ____________
6.
______ _______
by ____________
ABC ADC
SAS
ABC ADC
SSS
Marking Triangles Worksheet
7.
______ _______
by ____________
8.
______ _______
by ____________
BAC DAC
AAS
ABC ADC
ASA
Marking Triangles Worksheet
9.
______ _______
by ____________
10.
______ _______
by ____________
ABD CBD
HL
ADB CDB
SAS
Marking Triangles Worksheet
11.
______ _______
by ____________
12.
______ _______
by ____________
ADB CDB
SAS
ADB CDB
SSS
4.7 HW pg. 267 #7-13, 15-17, 19
7. 12 8. 16 9. 60°
10. Base Angles: 37°, vertex angle: 106°
11. x = 20 12. x = 6 13. x = 8
15. x = 39°, y = 39° 16. x = 48°, y = 70°
17. x = 45°, y = 5° 19. B
Ch 4 Review pg. 282-285 #3, 5, 6-20, 24, 26 pg. 286 #1-6
3. Isosceles: 2 congruent sides. Scalene: No congruent sides
5.
6. x = 45°, Exterior angle = 65° 7. x = 15°, Exterior angle = 120°
8. x = 9°, Exterior angle = 90° 9. 60°
10. 15m 11. 60° 12. 50° 13. x = 18 14. x = 11
P L PQ LM
Q M QR MN
R N PR LN
Ch 4 Review pg. 282-285 #3, 5, 6-20, 24, 26 pg. 286 #1-6
15. True, SSS 16. not true, BD CA
17. True, SAS 18. True, HL
19. J F 20. G D
24. x = 65° 26. x = 1
1. Equilateral, Acute 2. Right, scalene
3. Isosceles, Obtuse 4. x = 70°
5. x = 30 6. x = 75°
Proof Review Worksheet
1.
C is the midpoint of & Given
Def. of midpoint
Def. of midpoint
AE BD
AC CE
BC CD
ACB ECD
Vertical Angles
SASABC EDC
Proof Review Worksheet
2.
Given
Alternate Interior Angles
Given
Vertical Angles
AAS
AB DE
B E
AB DE
ACB DCE
ABC ECD
Proof Review Worksheet
3.
Given
& are right angles Def. of lines
& are right triangles Def. of right triangles
BD AC
ADB CDB
ADB CDB
AB CB
Given
Reflexive
HL
BD BD
ABD CBD
Proof Review Worksheet
4.
bisects Given
Def. of angle bisector
Given
Reflexive
SAS
AC BAD
BAC DAC
AB AD
AC AC
BCA DCA
B
CPCTCCA DCA
Proof Review Worksheet
5.
C is the midpoint of Given
Def. of midpoint
Given
Vertical Angl
BD
BC CD
B D
ACB ECD
es
ASA
CPCTC
ACB ECD
AB ED
Proof Review Worksheet
6.
Given
Given
Reflexive
SSS
CPCTC
AB AD
BC DC
AC AC
ABC ADC
B D