1. c2. e3. f 4. a5. b6. d 14. x = 60 °15. x = 3016. x = 134

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