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CongruentTriangles
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Workout
Question1: Thefollowingpairsoftrianglesarecongruent,statetheconditionthatshows
theyarecongruent.
(a) (b) (c)
(d)
(e)
(f)
(g)
(h)
(i)
Question2: Shownbelowaresixtriangles.
Whichtrianglesarecongruent?
© CORBETTMATHS 2016
!
CongruentTriangles
Video67onwww.corbettmaths.com
Question3: IntriangleABC,AB=7cm,∠BAC=50°and∠ABC=35°
IntriangleDEF,EF=7cm,∠DEF=35°and∠DFE=50°
AretrianglesABCandDEFcongruent?Iftheyare,statethecondition.
Question4: IntriangleGHI,GH=7cm,HI=4cmandGI=5cm.
IntriangleJKL,JK=7cm,KL=4.5cmandJL=5cm.
AretrianglesGHIandJKLcongruent?Iftheyare,statethecondition.
Question5: IntriangleMNO,∠MNO=50°,∠NOM=60°and∠OMN=70°
IntrianglePQR,∠PQR=50°,∠QRP=60°and∠RPQ=70°
AretrianglesMNOandPQRcongruent?Iftheyare,statethecondition.
Question6: IntriangleSTU,SU=13cm,∠TSU=20°and∠TUS=30°
IntriangleVWX,WX=13cm,∠WXV=30°and∠XVW=20°
AretrianglesSTUandVWXcongruent?Iftheyare,statethecondition.
Apply
Question1:
HannahandChriseachdrawatrianglewithonesideof3cm,oneangleof35°
andoneangleof80°.
Hannahsaystheirtrianglesmustbecongruent.
IsHannahcorrect?
Question2:
PaulandGregeachdrawatrianglewithonesideof3cm,onesideof9cm
andonesideof10cm.
Gregsaystheirtrianglesmustbecongruent.
IsGregcorrect?
Question3:
CarlandMichaeleachdrawatrianglewithoneangleof58°,oneangleof68°
andoneangleof54°.
Carlsaystheirtrianglesmustbecongruent.
IsCarlcorrect?
Question4: ABCDisaparallelogram.
ProvethattrianglesABDandBCDarecongruent.
Question5: Inthediagram,thelinesCEandDFintersectatG.
CDandFEareparallelandCD=FE.
ProvethattrianglesCDGandEFGarecongruent.
© CORBETTMATHS 2016