2-COLUMN PROOFS
to complete your proof, first list the parts that are given. choose from the following as reasons for your statements.
corresponding
angles
1
reflexive
property
given:
ABC
alternate interior
angles
D
A
A E b isect s B D
B D bisec t s A E
prove:
vertical
angles
EDC
E
B
BC
3
NIO
3
ECD
4
EDC
I
ND
N
G
M
given:
MA
MV
AC
ABC
CDA
given:
R
A
S
T
ST
H
TRS
ATR
given
reflexive
ART
STR
RA
ST
O
6
given:
HO
HS
R
H
OR
RS
prove:
H
R
A
V
reasons
RS || T A
prove:
AVH
reasons
ACD and CAB are right angles
S
HV
HA
VAM
D
AC
RA
1
2
3
4
5
6
O
5
E
statements
reasons
given
given
GND
D
S
statements
1
MV
reasons
HA
2
given
3
VA
4
VAM
AV
AVH
HL
C
B
prove:
O
N
INO
SSS
RS AT
RS || T A
S
N
statements
ASA
A
CDA
4
D
prove:
D
O
1
2
3
4
5
2
NGD
NO
AAS
1
CE
given:
SAS
statements
B D b isec t s A E
ABC
given:
ABC
reasons
CD
ACB
CPCTC
AD BC
ACD and CAB are right angles
A E b isect s B D
AC
2
C
statements
1
2
3
4
5
6
definition of
a bisector
statements
1
2
3
4
5
HO
reasons
OR
given
HOS
H
ROS
R
2-COLUMN PROOFS
to complete your proof, first list the parts that are given. choose from the following as reasons for your statements.
corresponding
angles
reflexive
property
7
vertical
angles
given:
alternate interior
angles
RED
ADE
A
R
ABC
D
reasons
given
reflexive
9
ADE
10
given:
AC
A
ED
A
D
E
DEB
C
ACB
B I || RD
prove:
BIS
RDS
statements
1
2
3
4
5
6
B I || RD
B
R
IS
DS
BSI
RSD
A
REA
R
T
reasons
1
2
3
4
5
6
A
given:
D
AB || D C
AB DC
B
E
prove:
R
I
E
reasons
statements
S
B R b is e c t s ID
D
E
12
given:
C
TA
AR
prove:
11
B
HL
B
A
H
HET
reasons
given
given
reflexive property
AAS
CPCTC
1
2
3
4
5
SSS
E is the midpoint of AT
B
statements
ASA
EDC
given:
HR
HT
D
prove:
AAS
1
2
3
4
5
RDE
RED
SAS
statements
AE || RD
AED
given:
A E b isect s B D
AB || DE
prove:
statements
1
2
3
4
5
CPCTC
8
E
AE || RD
AE RD
prove:
definition of
a bisector
AE
reasons
DE
statements
1
2
3
4
5
6
EAB
ABE
D
C
reasons
given
EDC
DCE
given
AEB
DEC
CPCTC