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Triangle congruence from 3 givens

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

Given  IU\overline{IU}   \cong   DY\overline{DY}   and  RI\overline{RI}    \cong    ND\overline{ND}   and  UR\overline{UR}    \cong    YN\overline{YN}  , how can you prove that  ΔRIU\Delta RIU   \cong    ΔNDY\Delta NDY  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

2.

Given  YS\overline{YS}    \cong    WT\overline{WT}   and  RY\overline{RY}   \cong    CW\overline{CW}   and  R\angle R   \cong    C\angle C  , how can you prove that  ΔRYS\Delta RYS   \cong    ΔCWT\Delta CWT  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

3.

Given  BU\overline{BU}  \cong  XV\overline{XV} and TB\overline{TB}  \cong   GX\overline{GX} and B\angle B  \cong  X\angle X , how can you prove that  ΔTBU\Delta TBU  \cong  ΔGXV\Delta GXV ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

4.

Given  MB\overline{MB}    \cong    KF\overline{KF}   and  ZM\overline{ZM}    \cong    PK\overline{PK}   and  B\angle B    \cong    F\angle F  , how can you prove that  ΔZMB\Delta ZMB    \cong    ΔPKF\Delta PKF  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

5.

Given  PN\overline{PN}  \cong  UAUA  and  NZNZ   \cong   AY\overline{AY}   and  N\angle N   \cong   A\angle A  , how can you prove that  ΔNZP\Delta NZP   \cong   ΔAYU\Delta AYU  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

6.

Given  QP\overline{QP}   \cong    UZ\overline{UZ}   and  PY\overline{PY}    \cong    ZW\overline{ZW}   and  Y\angle Y    \cong    W\angle W  , how can you prove that  ΔPYQ\Delta PYQ   \cong    ΔZWU\Delta ZWU  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

7.

Given  CB\overline{CB}    \cong    EP\overline{EP}   and  BK\overline{BK}    \cong   PI\overline{PI}   and  C\angle C    \cong    E\angle E  , how can you prove that  ΔBKC\Delta BKC    \cong    ΔPIE\Delta PIE  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

8.

Given  \angle G    \cong    D\angle D   and  GY\overline{GY}    \cong    DT\overline{DT}   and  Y\angle Y    \cong    T\angle T  , how can you prove that  ΔGYJ\Delta GYJ    \cong    ΔDTO\Delta DTO  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

9.

Given  \angle H   \cong   W\angle W   and  HU\overline{HU}   \cong  WQ\overline{WQ}   and  L\angle L  \cong  N\angle N  , how can you prove that  ΔHUL\Delta HUL  \cong  ΔWQN\Delta WQN ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

10.

Given  \angle J  \cong   F\angle F   and  WJ\overline{WJ}  \cong   MF\overline{MF}   and  Z\angle Z  \cong   E\angle E  , how can you prove that  ΔWJZ\Delta WJZ  \cong   ΔMFE\Delta MFE  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

11.

Given  \overline{FD}   \cong   JR\overline{JR}   and  QF\overline{QF}  \cong   OJ\overline{OJ}   and  D\angle D  \cong   R\angle R  , how can you prove that  ΔDQF\Delta DQF  \cong   ΔROJ\Delta ROJ  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

12.

Given  \overline{ML}  \cong  PX\overline{PX}  and  TM\overline{TM}  \cong  RP\overline{RP}   and  T\angle T  \cong   R\angle R  , how can you prove that  ΔLTM\Delta LTM  \cong   ΔXRP\Delta XRP  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

13.

Given  \overline{JI}  \cong   KU\overline{KU}   and  QJ\overline{QJ}  \cong   MK\overline{MK}   and  J\angle J  \cong   K\angle K  , how can you prove that  ΔIQJ\Delta IQJ  \cong   ΔUMK\Delta UMK ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

14.

Given  \angle W  \cong   K\angle K   and  FY\overline{FY}  \cong  AZ\overline{AZ}   and  F\angle F  \cong   A\angle A  , how can you prove that  ΔWFY\Delta WFY  \cong   ΔKAZ\Delta KAZ  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

15.

Given  \angle O  \cong   G\angle G   and  BQ\overline{BQ}  \cong   ZV\overline{ZV}   and  Q\angle Q  \cong   V\angle V  , how can you prove that  ΔOBQ\Delta OBQ  \cong   ΔGZV\Delta GZV ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

16.

Given  \angle Z   \cong   \angle U  and  \overline{ZL}   \cong  \overline{UP}   and  \angle L   \cong  \angle P  , how can you prove that  \Delta GZL  

 \cong 
 \Delta CUP  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

17.

Given  \angle H  \cong   Y\angle Y   and  KH\overline{KH}  \cong   MY\overline{MY}   and  U\angle U  \cong   P\angle P  , how can you prove that  ΔHUK\Delta HUK  \cong   ΔYPM\Delta YPM  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

18.

Given  \angle O  \cong   Y\angle Y   and  PO\overline{PO}  \cong   QY\overline{QY}   and  P\angle P  \cong   Q\angle Q  , how can you prove that  ΔOXP\Delta OXP  \cong   ΔYTQ\Delta YTQ  ?


a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

19.

Given  \angle V  \cong   R\angle R   and  JG\overline{JG}  \cong   OZ\overline{OZ}   and  J\angle J  \cong   O\angle O  , how can you prove that  ΔGVJ\Delta GVJ  \cong   ΔZRO\Delta ZRO  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't

20.

Given  M\angle M  \cong   L\angle L   and  C\angle C  \cong   O\angle O   and  F\angle F  \cong   I\angle I  , how can you prove that  ΔCMF\Delta CMF  \cong   ΔOLI\Delta OLI  ?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

you can't