1. c2. e3. f 4. a5. b6. d 14. x = 60 °15. x = 3016. x = 134
DESCRIPTION
4.1 HW pg. 221 #1-6, 14-18, 21-26, 32, 33, 35 4.2a HW pg. 229 #15, 16. 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134 17. x = 4718. x = 3621. 50° 22. 130°23. 50°24. 130° 25. 40°26. 30°32. y = 32° - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/1.jpg)
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
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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
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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
![Page 4: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/4.jpg)
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
![Page 5: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/5.jpg)
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!
![Page 6: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/6.jpg)
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
![Page 7: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/7.jpg)
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
![Page 8: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/8.jpg)
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
![Page 9: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/9.jpg)
4.5 WS
GivenDef. of angle bisector
GivenReflexive
AAS
1.
![Page 10: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/10.jpg)
Given
Given
Vertical Angles
AAS
BE BC
A D
ABE DBC
ABE DBC
2.
4.5 WS
![Page 11: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/11.jpg)
Given
Alternate Interior Angles
Given
Reflexive
ASA
AB DC
ABD CDB
ADB CBD
BD BD
ABD CDB
3.
4.5 WS
![Page 12: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/12.jpg)
Given
Given
Reflexive
AAS
XYW ZWY
WXY YZW
WY WY
ZWY XYW
4.
4.5 WS
![Page 13: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/13.jpg)
Given
Given
Vertical Angles
AAS
D C
AB EB
ABD EBC
DBA CBE
5.
4.5 WS
![Page 14: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/14.jpg)
1.
4.6 WS
Given
Def. of midpoint
Def. of midpoint
SAS
CPCTC
Vertical angles
![Page 15: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/15.jpg)
2.
4.6 WS
Given
Given
Reflexive
SSS
CPCTC
VW XY
WX YV
VX VX
YVX WXV
Y W
![Page 16: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/16.jpg)
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
![Page 17: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/17.jpg)
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
![Page 18: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/18.jpg)
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
![Page 19: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/19.jpg)
Marking Triangles Worksheet
1.
______ _______
by ____________
2.
______ _______
by ____________
ABC ECD
SAS
ACB ECD
AAS
![Page 20: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/20.jpg)
3.
______ _______
by ____________
4.
______ _______
by ____________
ABC ECD
AAS
ABC EDC
AAS
Marking Triangles Worksheet
![Page 21: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/21.jpg)
Marking Triangles Worksheet
5.
______ _______
by ____________
6.
______ _______
by ____________
ABC ADC
SAS
ABC ADC
SSS
![Page 22: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/22.jpg)
Marking Triangles Worksheet
7.
______ _______
by ____________
8.
______ _______
by ____________
BAC DAC
AAS
ABC ADC
ASA
![Page 23: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/23.jpg)
Marking Triangles Worksheet
9.
______ _______
by ____________
10.
______ _______
by ____________
ABD CBD
HL
ADB CDB
SAS
![Page 24: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/24.jpg)
Marking Triangles Worksheet
11.
______ _______
by ____________
12.
______ _______
by ____________
ADB CDB
SAS
ADB CDB
SSS
![Page 25: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/25.jpg)
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
![Page 26: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/26.jpg)
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
![Page 27: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/27.jpg)
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°
![Page 28: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/28.jpg)
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
![Page 29: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/29.jpg)
Proof Review Worksheet
2.
Given
Alternate Interior Angles
Given
Vertical Angles
AAS
AB DE
B E
AB DE
ACB DCE
ABC ECD
![Page 30: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/30.jpg)
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
![Page 31: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/31.jpg)
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
![Page 32: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/32.jpg)
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
![Page 33: 1. C2. E3. F 4. A5. B6. D 14. x = 60 °15. x = 3016. x = 134](https://reader036.vdocuments.us/reader036/viewer/2022062721/568135e4550346895d9d578d/html5/thumbnails/33.jpg)
Proof Review Worksheet
6.
Given
Given
Reflexive
SSS
CPCTC
AB AD
BC DC
AC AC
ABC ADC
B D