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Proving triangles congruent
Contributed by: Mekdad
(Original author: Heymann)
 SSS

AAS

NONE

SAS

ASA

HL

SSS

none

none

SSS

AAA

SAS

AAS

ASA

SSS

SAS

ASA

NONE

SSS

AAS

SSS

SAS

NONE

ASA

SAS

SSS

NONE

AAS

ΔRED ≅ΔTOY

ER   ≅  ______

ED

YT

TY

 OT

SSS

AAA

AAS

 NONE

SSS

SAS

NONE

AAA

AAA

SSS

ASA

SAS

AAA

SSS

NONE 

ASA and AAS

 SAS

AAS

SSS

ASA

THE ≅

List the angles that are congruent.

 ⋖T≅⋖C   ⋖H≅⋖U  ⋖E≅⋖P
 ⋖T≅⋖H   ⋖C≅⋖U  ⋖E≅⋖P
 ⋖T≅⋖C   ⋖H≅⋖P  ⋖E≅⋖U

All of the above

CUP

CPCTC  the second C stands for ______.

Triangle

Parts

Corresponding

 Congruent 

AAA

ASA

 NONE

AAS

Graphg the point (o, -2)
T
S
A

S

 T

A

R

R

∆TRY ≅∆SAW

 

Which is correct?

∆RYT ≅∆SWA

 ∆YTR ≅ ∆WSA 

∆TYR ≅ ∆ WSA

∆WAS ≅ ∆TYR

Triangles are congruent.  Name them correctly.
M
A

∆AMH ≅∆ATH

∆HAT ≅∆HAM

∆TAH ≅ ∆MAH

∆MAH ≅ ∆THA

H
T
 AAS 

ASA

SSS

AAS or ASA

ASA

AAA

SSS

SA 

AAA

ASA

 NONE

AAS

SAS

SSS

ASA

NONE

61
59
60
61

ASA

SSS

NONE

AAA

P

A

To prove the two triangles

are congruentby ASA.  What is needed?

B
T

Y

G

PA ≅BY

PT ≅ BG

YG ≅ TA

NOTHING

To prove the traingles are congruent by SAS,

what is needed?

W

E
R
T

ER≅TY

◅E ≅◅P

◅W ≅ ◅T

PY ≅ ER

P
Y

To prove triangles congruent by SSS, you need

to have what true?

Z

X
C
B

ZC ≅ BM

◅Z ≅◅B

CX ≅ MN

◅ X ≅ ◅M

M

N

 ASA

AAS

SSS

AAS or ASA

 NONE

AAS

SSS

ASA

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