Download Proofs W.S. #1 File

Geometry
Triangle  Proofs worksheet #1 (SSS and SAS)
Name ____________________________________
Directions: Mark each picture with the given information and anything else you know. Then do each proof.
Remember you need to know 3 things about each picture before you know the ’s are .
1. Given: LN  NP and MN  NO
Prove: LNM  PNO
O
L
Statements
4
Reasons
N
P
M
2. Given: IF  HG and FG  IH
Prove: IFG  GHI
F
G
I
Statements
4
Reasons
H
Statements
3. Given: ST  UP and STU  TUP
Prove: STU  PUT
P
S
T
4
Reasons
U
4. Given: TU  UV and
M is the midpoint of VT
Prove: TUM  VUM
T
Statements
U
V
M
5
Reasons
Statements
6
Reasons
5. Given: BC  AE , D is the midpoint of
AC and BE
Prove: BCD  EAD
B
C
D
A
E
6. Given: LA  RO , AP  PR ,
and LAP and ORP are right angles
Prove: LAP  ORP
L
R
Statements
5
Reasons
O
A
P
Statements
8
Reasons
7. Given: OT  LP , OT  LT , LP  LT
Prove: PLT  OTL
P
L
O
T
8. Given: U is the midpoint of EL and JI
Prove: LUI  EUJ
L
J
Statements
6
Reasons
U
E
I
9. Given: LN bisects MLO and LM  LO Statements
Prove: LMN  LON
M
L
N
O
5
Reasons
1.
LN  NP
MN  NO
LNM  ONP
LNM  PNO
Given
Given
Vertical angles are congruent
SAS
2.
IF  HG
FG  IH
IG  IG
IFG  GHI
Given
Given
Reflexive
SSS
3.
ST  UP
STU  TUP
TU  TU
STU  PUT
Given
Given
Reflexive
SAS
4.
TU  UV
M is the midpoint of VT
TM  MV
UM  UM
TUM  VUM
Given
Given
definition of midpoint
Reflexive
SSS
5.
BC  AE
D is the midpoint of AC
D is the midpoint of BE
AD  DC
BD  DE
BCD  EAD
Given
Given
Given
definition of midpoint
definition of midpoint
SSS
6.
LA  RO
AP  PR
LAP and ORP are right angles
LAP  ORP
LAP  ORP
Given
Given
Given
all right angles are congruent
SAS
7.
OT  LP
OT  LT
LP  LT
OTL is a right angle
PLT is a right angle
OTL  PLT
LT  LT
PLT  OTL
Given
Given
Given
Perpendicular = right angle
Perpendicular = right angle
All right angles are congruent
Reflexive
SAS
8.
U is the midpoint of EL
U is the midpoint of JI
EU  UL
JU  UI
JUE  IUL
LUI  EUJ
Given
Given
definition of midpoint
definition of midpoint
vertical angles are congruent
SAS
9.
LN bisects MLO
LM  LO
MLN  OLN
LN  LN
LMN  LON
Given
Given
definition of angle bisector
Reflexive
SAS