Given: ABC CD bisects AB CD AB Prove: ACD BCDmwebster23.weebly.com/uploads/5/5/2/9/55298051/...#1 Given: ABC CD bisects AB CD AB Prove: ACD BCD Statement 1. ABC 1. Given CD bisects

#1

Given: ABC CD bisects AB

CD AB

Prove: ACD BCD

Statement

1. ABC CD bisects AB

CD AB

2. AD DB Side

3. CDA and CDB are right

4. CDA CDB Angle

5. CD CD Side

6. ACD BCD

Reasons 1. Given 2. A bisector cuts a segment into 2

parts.

3. lines form right .

4. All rt are . 5. Reflexive post.

6. SAS SAS

#2

Given: ABC and DBE bisect each other.

Prove: ABD CBD

Statement 1. ABC and DBE bisect each other.

2. AB BC Side

BD BE Side

3. ABD and BEC are vertical

4. ABD BEC Angle

5. ABD CBD

Reasons 1. Given 2. A bisector cuts a segment into 2

parts.

3. Intersecting lines form vertical .

4. Vertical are .

5. SAS SAS

#1 #3

Given: AB CD and BC DA

DAB, ABC, BCD and CDA

are rt

Prove: ABC ADC

Statement

1. AB CD Side

BC DA Side

2. DAB, ABC, BCD and CDA

are rt

3. ABC ADC Angle

4. ABC ADC

Reasons 1. Given 2. Given

3. All rt are .

4. SAS SAS

#4

Given: PQR RQS

PQ QS

Prove: PQR RQS

Statement

1. PQR RQS Angle

PQ QS Side

2. RQ RQ Side

3. PQR RQS

Reasons 1. Given 2. Reflexive Post.

3. SAS SAS

#1 #5

Given: AEB & CED intersect at E E is the midpoint AEB

AC AE & BD BE

Prove: AEC BED

Statement 1. AEB & CED intersect at E E is the midpoint AEB

AC AE & BD BE 2. AEC and BED are vertical

3. AEC BED Angle

4. AE EB Side

5. A & B are rt.

6. A B Angle

7. AEC BED

Reasons 1. Given

2. Intersecting lines form vertical .

3. Vertical are . 4. A midpoint cut a segment into 2

parts

5. lines form right .

6. All rt are .

7. ASA ASA

#6

Given: AEB bisects CED

AC CED & BD CED

Prove: EAC EBD

Statement 1. AEB bisects CED

AC CED & BD CED

2. CE ED Side

3. ACE & EDB are rt

4. ACE EDB Angle

Reasons 1. Given 2. A bisector cuts an angle into

2 parts.

3. Lines form rt .

4. All rt are

#1

5. AEC & DEB are vertical

6. AEC DEB Angle

7. EAC EBD

5. Intersect lines form vertical

6. Vertical are

7. ASA ASA

#7

Given: ABC is equilateral D midpoint of AB

Prove: ACD BCD

Statement

1. ABC is equilateral D midpoint of AB

2. AC BC Side

3. AD DB Side

4. CD CD Side

5. ACD BCD

Reasons 1. Given

2. All sides of an equilateral are 3. A midpoint cuts a segment into

2 parts. 4. Reflexive Post

5. SSS SSS

#8

Given: mA = 50, mB = 45,

AB = 10cm, mD = 50

mE = 45 and DE = 10cm

Prove: ABC DEF

Statement

1. mA = 50, mB = 45,

AB = 10cm, mD = 50

mE = 45 and DE = 10cm

2. A = D Angle and

B = E Angle AB = DE Side

3. ABC DEF

Reasons 1. Given 2. Transitive Prop

3. ASA ASA

#1 #9

Given: GEH bisects DEF

mD = mF

Prove: GFE DEH

Statement 1. GEH bisects DEF

mD = mF Angle

2. DE EF Side

3. 1 & 2 are vertical

4. 1 2 Angle

5. GFE DEH

Reasons 1. Given

2. Bisector cut a segment into 2 parts.


4. Vertical are

5. ASA ASA

#10

Given: PQ bisects RS at M

R S

Prove: RMQ SMP

Statement 1. PQ bisects RS at M

R S Angle

2. RM MS Side

Reasons 1. Given

2. Bisector cut a segment into 2

#1

3. 1 & 2 are vertical angles

4. 1 2 Angle

5. RMQ SMP

parts


4. Vertical are

5. ASA ASA

#11

Given: DE DG

EF GF

Prove: DEF DFG

Statement

1. DE DG Side

EF GF Side

2. DF DF Side

3. DEF DFG

Reasons 1. Given 2. Reflexive Post

3. SSS SSS

#12

Given: KM bisects LKJ

LK JK

Prove: JKM LKM

Statement 1. KM bisects LKJ

LK JK Side

2. 1 2 Angle

Reasons 1. Given

2. An bisectors cuts the into

2 parts

#1

3. KM KM Side

4. JKM LKM

3. Reflexive Post

4. SAS SAS

#13

Given: . PR QR

P Q RS is a median

Prove: PSR QSR

Statement

1. PR QR Side

P Q Angle RS is a median Side

2. PS SQ

3. PSR QSR

Reasons 1. Given 2. A median cuts the side into

2 parts

3. SAS SAS

#14

Given: EG is bisector EG is an altitude

Prove: DEG GEF

Statement

1. EG is bisector EG is an altitude

2. 3 4 Angle

Reasons 1. Given

2. An bisector cuts an into

2 parts.

#1

3. EG DF

4. 1 & 2 are rt

5. 1 2 Angle

6. GE GE Side

7. DEG GEF

3. An altitude form lines.

4. lines form right angles.

5. All right angles are 6. Reflexive Post

7. ASA ASA

#15

Given: A and D are a rt

AE DF

AB CD

Prove: EC FB

Statement

1. A and D are a rt

AE DF Side

AB CD

2. A D Angle

3. BC BC

4. AB + BC CD + BC

or AC BD Side

5. AEC DFB

6. EC FB

Reasons 1. Given

2. All right angles are . 3. Reflexive Post. 4. Addition Prop.

5. SAS SAS

6. Corresponding parts of are .

#16

Given: CA CB D midpoint of AB

Prove: A B

Statement

1. CA CB Side D midpoint of AB

Reasons 1. Given

#1

2. AD DB Side

3. CD CD Side

4. ADC DBC

5. A B

2. A midpoint cuts a segment into

2 parts 3. Reflexive Post 4. SSS SSS


#17

Given: . AB CD

CAB ACD

Prove: AD CB

Statement

1. AB CD Side

CAB ACD Angle

2. AC AC Side

3. ACD ABC

4. AD CB

Reasons 1. Given 2. Reflexive Post 3. SAS SAS


#18

Given: AEB & CED bisect each

Other

Prove: C D

Statement 1. AEB & CED bisect each other

2. CE ED Side & AE EB Side

3. 1 and 2 are vertical

Reasons 1. Given 2. A bisector cuts segments into

2 parts.


#1

4. 1 2 Angle

5. AEC DEB

6. C D

4. Vertical are

5. SAS SAS

6. Corresponding parts of are

#19

Given: KLM & NML are rt

KL NM

Prove: K N

Statement

1. KLM & NML are rt

KL NM Side

2. KLM NML Angle

3. LM LM Side

4. KLM LNM

5. K N

Reasons 1. Given

2. All rt are 3. Reflexive Post.

4. SAS SAS


#20

Given: AB BC CD

PA PD & PB PC

Prove: a) APB DPC

b) APC DPB

Statement

1. AB BC CD Side

PA PD Side & PB PC Side

2. ABP CDP

3. APB DPC

Reasons 1. Given

2. SSS SSS


#1

4. BPC BPC

5. APB + BPC DPC + BPC

or APC DPB

4. Reflexive Post. 5. Addition Prop.

#21

Given: PM is Altitude PM is median

Prove: a) LNP is isosceles

b) PM is bisector

Statement 1. PM is Altitude & PM is median

2. PM LN

3. 1 and 2 are rt

4. 1 2

5. LM MN

6. PM PM

7. LMP PMN

8. PL PN

9. LNP is isosceles

10. LPN MPN

11. PM is bisector

Reasons 1. Given

2. An altitude form lines.

3. lines form right angles.

4. All right angles are 5. A median cuts the side into

2 parts 6. Reflexive Post.

7. SAS SAS


9. An Isosceles is a with2 sides

10.Corresponding parts of are .

11. A bisector cuts an into

2 parts

#22

#1

Given: CA CB

Prove: CAD CBE

Statement

1. CA CB

2. 2 3

3. 1 & 2 are supplementary

3 & 4 are supplementary

4. 1 4 or CAD CBE

Reasons 1. Given

2. If 2 sides are then the opposite

are .

3. Supplementary are form by a linear pair.

4. Supplement of are .

#23

Given: AB CB & AD CD

Prove: BAD BCD

Statement

1. AB CB & AD CD

2. 1 2

3 4

3. 1 + 3 2 + 4

or BAD BCD

Reasons 1. Given

2. If 2 sides are then the opposite

are . 3. Addition Post.

#24

#1

Given: ΔABC ΔDEF M is midpoint of AB N is midpoint DE

Prove: ΔAMC ΔDNF

Statement

1. ΔABC ΔDEF 2. M is midpoint of AB N is midpoint DE

3. D A Angle and DF AC Side

4. AM MB and DN NE Side

5. ΔAMC ΔDNF

Reasons 1. Given 2. Given

3. Corresponding parts of Δ are 4. A midpoint cuts a segment into

2 parts

5. SAS SAS

#25

Given: ΔABC ΔDEF

CG bisects ACB

FH bisects DFE

Prove: CG FH

Statement

1. ΔABC ΔDEF

CG bisects ACB

FH bisects DFE

Reasons

#1

#26

Given: ΔAME ΔBMF

DE CF

Prove: AD BC

Statement

1. ΔAME ΔBMF

DE CF

2. EM MF

AM MB Side

1 2 Angle

3. DE + EM CF + MF

or DM MC Side

4. ΔADM ΔBCM

5. AD BC

Reasons 1. Given

2. Corresponding parts of Δ are 3. Addition Post.

4. SAS SAS

5. Corresponding parts of Δ are

Given: AEC & DEB bisect each other Prove: E is midpoint of FEG

Statement 1. AEC & DEB bisect each other

Reasons 1. Given

#1

2. DE BE Side and AE EC Side

3. AEB & DEC are vertical

4. AEB DEC Angle

5. ΔAEB ΔDEC

6. D B

7. 1 & 2 are vertical angles

8. 1 2

9. ΔGEB ΔDEF

10. GE FE 11. E is midpoint of FEG

2. A bisector cuts a segment into

2 parts.

3. Intersecting lines form vertical

4. Vertical are .

5. SAS SAS


7. Intersecting lines form vertical

8. Vertical are .

9. ASA ASA

10. Corresponding parts of Δ are 11. A midpoint divides a segment

into 2 parts.

#28

Given: BC BA

BD bisects CBA

Prove: DB bisects CDA

Statement Reasons

#1

1. BC BA Side BD bisects CBA

2. 1 2 Angle

3. BD BD Side

4. ΔABD ΔBCD

5. 3 4

6. DB bisects CDA

1. Given 2. A bisector cuts an angle into

2 parts. 3. Reflexive Post.

4. SAS SAS

5. Corresponding parts of Δ are 6. A angle bisector cuts an angle

into 2 parts.

#29

Given: AE FB

DA CB

A and B are Rt.

Prove: ADF CBE

DF CE

Statement

1. AE FB

DA CB Side

A and B are Rt.

2. EF EF

3. AE + EF FB + EF

or AF EB Side

Reasons 1. Given 2. Reflexive Post 3. Addition Property

#1

4. A B Angle

5. ADF CBE

6. DF CE

4. All rt. are .

5. SAS SAS


#30

Given: SPR SQT

PR QT

Prove: SRQ STP

R T

Statement

1. SPR SQT Side

PR QT

2. S S Angle

3. SPR – PR SQT – QT

or SR ST Side

4. SRQ STP

5. R T

Reasons 1. Given 2. Reflexive Post 3. Subtraction Property

4. SAS SAS


#31

Given: DA CB

DA AB & CB AB

Prove: DAB CBA

AC BD

Statement

1. DA CB Side

DA AB & CB AB

2. DAB and CBA are rt

3. DAB CBA Angle

4. AB AB Side

5. DAB CBA

6. AC BD

Reasons 1. Given

2. lines form rt .

3. All rt are . 4. Reflexive post.

5. SAS SAS

6. Corresponding parts of Δ are .

#1

#32

Given: BAE CBF

BCE CDF

AB CD

Prove: AE BF

E F

Statement

1. BAE CBF Angle

BCE CDF Angle

AB CD

2. BC BC

3. AB + BC CD + BC

or AC BD Side

4. AEC BDF

5. AE BF

E F

Reasons 1. Given 2. Reflexive Post. 3. Addition Property.

4. ASA ASA


#33

Given: TM TN M is midpoint TR N is midpoint TS

Prove: RN SM

Statement Reasons

#1

1. TM TN Side M is midpoint TR N is midpoint TS

2. T T Angle 3. RM is ½ of TR NS is ½ of TS

4. RM NS

5. TM + RM TN + NS

or RT TS Side

6. RTN MTS

7. RN SM

1. Given 2. Reflexive Post. 3. A midpoint cuts a segment in .

4. ½ of parts are . 5. Addition Property

6. SAS SAS


#34

Given: AD CE & DB EB

Prove: ADC CEA

Statement

1. AD CE & DB EB Side

Reasons 1. Given

#1

2. B B Angle

3. AD + DB CE + EB

or AB BC Side

4. ABE BCD

5. 1 2

6. 1 & 3 are supplementary

2 & 4 are supplementary

7. 3 4 or

ADC CEA

2. Reflexive Post 3. Addition Post.

4. SAS SAS


6. A st. line forms supplementary .

7. Supplements of are .

#35

Given: AE BF & AB CD

ABF is the suppl. of A

Prove: AEC BFD

Statement

1. AE BF Side & AB CD

ABF is the suppl. of A

Reasons 1. Given

#1

2. A 1 Angle

3. BC BC

4. AB + BC CD + BC

or AC BD Side

5. AEC BFD

2. Supplements of are . 3. Reflexive Post. 4. Addition Property.

5. SAS SAS

#36

Given: AB CB

BD bisects ABC

Prove: AE CE

Statement

1. AB CB Side

BD bisects ABC

2. 1 2 Angle

3. BE BE Side

4. BEC BEA

5. AE CE

Reasons 1. Given

2. A bisector cuts an into

2 parts. 3. Reflexive Post.

4. SAS SAS


#37

Given: PB PC

Prove: ABP DCP

Statement

1. PB PC

Reasons 1. Given

#1

2. 1 2

3. 1 & ABP are supplementary

2 & DCP are supplementary

4. ABP DCP

2. opposite sides are .

3. Supplementay are formed by a linear pair.


#38

Given: AC and BD are bisectors of each other.

Prove: AB BC CD DA

Statement

1. AC and BD are bisectors of each other

2. 1, 2, 3 and 4 are rt

3. 1 2 3 4 Angle

4. AE EC and BE DE 2 sides

5. ABE BEC DEC AED

6. AB BC CD DA

Reasons 1. Given

2. lines form rt .

3. All rt are . 4. A bisector cuts a segment into

2 parts.

5. SAS SAS


#39

Given: AEFB, 1 2

CE DF, AE BF

Prove: AFD BEC

Statement Reasons

#1

1. AEFB, 1 2 Angle

CE DF Side, AE BF

2. EF EF

3. AE + EF BF + EF or

AF EB Side

4. AFD BEC

1. Given 2. Reflexive Post. 3. Addition Property

4. SAS SAS

#40

Given: SX SY, XR YT

Prove: RSY TSX

Statement

1. SX SY Side, XR YT

2. SX + XR SY + YT

or SR ST Side

3. S S Angle

4. RSY TSX

Reasons 1. Given 2. Addition Post. 3. Reflexive Post.

4. SAS SAS

#41

Given: DA CB

DA AB, CB AB

Prove: DAB CBA

#1

Statement

1. DA CB Side

DA AB, CB AB

2. DAB and CBA are rt.

3. DAB CBA Angle

4. AB AB Side

5. DAB CBA

Reasons 1. Given

2. lines form rt

3. All rt. are 4. Reflexive Post.

5. SAS SAS

#42

Given: AF EC

1 2, 3 4

Prove: ABE CDF

Statement

1. AF EC

1 2, 3 4 Angle

2. DFC BEA Angle

3. EF EF

4. AF + EF EC + EF or

AE FC Side

5. ABE CDF

Reasons 1. Given

2. Supplements of are 3. Reflexive post. 4. Addition Post.

5. AAS AAS

#43

#1

Given: AB BF, CD BF

1 2, BD FE

Prove: ABE CDF

Statement

1. AB BF, CD BF

1 2 Side , BD FE

2. B and CDF are rt.

3. B CDF Angle

4. DE DE

5. BD + DE FE + DE or

BE DF Side

6. ABE CDF

Reasons 1. Given

2. lines form rt.

3. All rt. are 4. Reflexive Post. 5. Addition Post.

6, ASA ASA

#44

Given: BAC BCA

CD bisects BCA

AE bisects BAC

Prove: ADC CEA

Statement

1. BAC BCA Angle

CD bisects BCA

AE bisects BAC

2. ECA ½BAC and

DCA ½BCA

3. ECA DCA Angle

4. AC AC Side

5. ADC CEA

Reasons 1. Given

2. bisector cuts an in ½

3. ½ of are 4. Reflexive post.

5. ASA ASA

#1 #45

Given: TR TS, MR NS

Prove: RTN STM

Statement

1. TR TS Side, MR NS

2, TR – MR TS – NS or

TM TN Side

3. T T Angle

4. RTN STM

Reasons 1. Given 2. Subtraction Post. 3. Reflexive Post.

4. ASA ASA

#46

Given: CEA CDB, ABC AD and BE intersect at P

PAB PBA

Prove: PE PD

Statement

1. CEA CDB, ABC AD and BE intersect at P

PAB PBA 2.

Reasons 1. Given

#1

#47

Given: AB AD and BC DC

Prove: 1 2

Statement

1. AB AD and BC DC

2. AC AC

3. ABC ADC

4. AE AE

5. BAE DAE

6. ABE ADE

7. 1 2

Reasons 1. Given 2. Reflexive Post.

3. SSS SSS 4. Reflexive Post.


6. SAS SAS


#48

Given: BD is both median and

altitude to AC

Prove: BA BC

Statement 1. BD is both median and

altitude to AC

2. AD CD Side

3. ADB and CDB are rt.

4. ADB CDB Angle

5. BD BD Side

6. ABD CBD

Reasons 1. Given

2. A median cuts a segment into 2 parts

3. Lines form rt.


#1

7. BA BC

6. SAS SAS


#49

Given: CDE CED and AD EB

Prove: ACC BCE

Statement

1. CDE CED and AD EB Side

2. CDA CEB Angle

3. CD CE Side

4. ADC BEC

5. ACD BCE

Reasons 1. Given


3. Sides opp. in a are

4. SAS SAS


#50

Given: Isosceles triangle CAT

CT AT and ST bisects CTA

Prove: SCA SAC

Statement 1. Isosceles triangle CAT

CT AT Side and ST bisects CTA

2. CTS ATS Angle

3. ST ST Side

4. CST AST

Reasons 1. Given

2. An bisector cuts an into 2 parts 3. Reflexive Post.

4. SAS SAS

#1

5. CS AS

6. SCA SAC


6. opp. sides in a are

#51

Given: 1 2

DB AC

Prove: ABD CBD

Statement

1. 1 2 and DB AC

2. DBA and DBC are rt.

3. DBA DBC Angle

4. DAB DCA Angle

5. DB DB Side

6. ABD CBD

Reasons 1. Given

2. lines form rt.

3. All rt. are

4. Supplements of are 5. Reflexive Post.

6. AAS AAS

#52

Given: P S R is midpoint of PS

Given: PQR STR

Statement

1. P S Angle R is midpoint of PS

2. PR RS Side

3. QRP and TRS are vertical

Reasons 1. Given

2. A midpoint cuts a segment into 2 parts

3. Intersecting lines form vert.

#1

4. QRP TRS Angle

5. PQR STR

4. Vertical are

5. ASA ASA

#53

Given: FG DE G is midpoint of DE

Given: DFG EFG

Statement

1. FG DE G is midpoint of DE

2. FGD and FGE are rt.

3. FGD FGE Angle

4. FG FG Side

5. DG GE Side

6. DFG EFG

Reasons 1. Given

2. lines form rt.


5. A midpoint cuts a segment into 2 parts.

6. SAS SAS

#54

Given: AC CB D is midpoint of AB

Prove: ACD BCD

Statement

1. AC CB Side D is midpoint of AB

Reasons 1. Given

#1

2. AD DB Side

3. CD CD Side

4. ACD BCD

2. A midpoint cuts a segment into 2 parts. 3. Reflexive Post.

4. SSS SSS

#55

Given: PT bisects QS

PQ QS and TS QS

Prove: PQR RST

Statement 1. PT bisects QS

PQ QS and TS QS

2. QR RS Side

3. PRQ and TRS are vertical

4. PRQ TRS Angle

5. Q and S are rt.

6. Q S Angle

7. PQR RST

Reasons 1. Given

2. A bisector cuts a segment into 2 parts.


4. All vert. are

5. lines form rt.

6. All rt. are

7. ASA ASA

#56

Given: AB ED and FE CB

FE AD and CB AD

Prove: AEF CBD

Statement

1. AB ED and FE CB Side

Reasons 1. Given

#1

FE AD and CB AD

2. BE BE

3. AB + BE ED + BE or

AE DB Side

4. AEF and DBF are rt.

5. AEF DBF Angle

6. AEF CBD

2. Reflexive Post. 3. Addition Post.

4. lines form rt.

5. All rt. are

6. SAS SAS

#57

Given: SM is bisector of LP

RM MQ

a b

Prove: RLM QPM

Statement

1. SM is bisector of LP

RM MQ Side

a b

2. SML and SMP are rt.

3. 1 2 Angle

4. LM PM Side

5. RLM QPM

Reasons 1. Given

2. lines form rt.

3. Complements of are


5. SAS SAS

#59

Given: AC BC

CD AB

Prove: ACD BCD

Statement Reasons

#1

1. AC BC

CD AB

2. CDA and CDB are rt.

3. CDA CDB

4. CD CD

5. ACD BCD

1. Given

2. lines form rt.


5. SAS SAS

#60

Given: FQ bisects AS

A S

Prove: FAT QST

Statement 1. FQ bisects AS

A S Angle

2. AT ST Side

3. ATF & STQ are vertical

4. ATF STQ Angle

5. FAT QST

Reasons 1. Given



4. All vert. are

5. ASA ASA

#61

Given: A D and BCA FED

AE CD

AEF BCD

Prove: ABC DFE

Statement

1. A D Angle and

BCA FED Angle

Reasons 1. Given

#1

AE CD and AEF BCD

2. EC EC

3. AE + EC CD + EC or

AC DE Side

4. ABC DFE

2. Reflexive Post. 3. Addition Post.

4. ASA ASA

#62

Given: SU QR, PS RT

TSU QRP

Prove: PQR STU

Q U

Statement

1. SU QR, PS RT

TSU QRP

2. SR SR 3. PS + SR = RT + SR or

PR TS

4. PQR STU

5. Q U

Reasons 1. Given 2. Reflexive Post. 3. Addition Post

4. SAS SAS


#63

#1

Given: M D

ME HD

THE SEM

Prove: MTH DSE

Statement

1. M D Angle, ME HD

THE SEM

2. HE HE

3. ME – HE HD - HE or

MH DE Side

4. THM SED Angle

5. MTH DSE

Reasons 1. Given 2. Reflexive post. 3. Subtraction Post.

4. Supplements of are

5. ASA ASA

#64

Given; SQ bisects PSR

P R

Prove: PQS QSR

Statement

1. SQ bisects PSR

P R Angle

2. PSQ RSQ Angle

3. SQ SQ Side

4. PQS QSR

Reasons 1. Given

2. an bisectors cuts an into 2 parts. 3. Reflexive Post

4. AAS AAS

#1 #65

Given: PQ QS and TS QS R midpoint of QS

Prove: P T

Statement

1. PQ QS and TS QS R midpoint of QS

2. Q and S are rt.

3. Q S Angle

4. PRQ and TRS are vertical

5. PRQ TRS Angle

6. QR SQ Side

Reasons 1. Given

2. lines form rt.

3. All rt. are


5. All vert. are

6. A midpoint cuts a segment into 2

#1

7. PQR TSR

8. P T

parts.

7. ASA ASA


#66

Given: CB FB, BT BV

DV TS, DC FS

Prove: D S

Statement

1. CB FB, BT BV

DV TS, DC FS Side

2. BTV BVT Angle

3. CB + BT FB + BV or

CT FV Side

4. VT VT

5. DV + VT TS + VT or

DT SV Side

6. DCT SVF

7. D S

Reasons 1. Given

2. opp. sides in a are 3. Addition Post 4. Reflexive Post. 5. Addition Post

6. SAS SAS


#1 #67

Given: PQ DE and PB AE

QA PE and DB PE

Prove: D Q

Statement

1. PQ DE Hyp and PB AE

QA PE and DB PE

2. AB AB 3. PB – AB = AE – AB or

PA EB Leg

4. QAP and DBA are rt.

Reasons 1. Given 2. Reflexive post. 3. Subtraction Post.

4. lines form rt.

#1

5. QAP DBA

6. PAQ EBD

7. D Q

5. All rt. are

6. HL HL


#68

Given: TS TR

P Q

Prove: PS QR

Statement

1. TS TR Side

P Q Angle

2. PTS and QTR are vertical

3. PTS QTR Angle

4. PTS QTR

5. PS QR

Reasons 1. Given


3. All vert. are

4. AAS AAS


#69

Given: HY and EV bisect each other

Prove: HE VY

Statement 1. HY and EV bisect each other

2. HA YA Side and EA VA Side

3. HAE and YAV are vertical

4. HAE YAV Angle

5. HAE YAV

6. HE VY

Reasons 1. Given



4. All vert. are

5. SAS SAS


#1 #70

Given: E D and A C B is the midpoint of AC

Prove: EA DC

Statement

1. E D Angle and A C Angle B is the midpoint of AC

2. EA DC Side

3. ABE CBE

4. EA DC

Reasons 1. Given


3. AAS AAS


#71

Given: E is midpoint of AB

DA AB and CB AB

1 2

Prove: AD CB

Statement 1. E is midpoint of AB

DA AB and CB AB

1 2

2. AE EB Side

3. DE CE Side

Reasons 1. Given


3. opp. sides in a are

#1

4. ADE BCD

5. AD CB

4. HL HL


Documents

Given: ABC CD bisects AB CD AB Prove: ACD BCDmwebster23.weebly.com/uploads/5/5/2/9/55298051/...#1 Given: ABC CD bisects AB CD AB Prove: ACD BCD Statement 1. ABC 1. Given CD bisects