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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