Download Geometry L1

Geometry L1
Parallelogram Proof Key
Name: ____________________
1)
1)
2)
3)
4)
5)
6)
2)
1)
2)
3)
4)
5)
3)
Statements
ABCD, AE  FC
AD  CB
AD CB
DAE  BCF
ADE  CBF
DE  BF
Statements
EFHJ , 1  2
JH  FE
J  F
JHK  FEG
KH  EG
Statements
Date: ____________
Reasons
Given
 opp. sides
 opp. sides
 alt. int 's
SAS
CPCTC
Reasons
Given
 opp. sides
 opp. 's
ASA
CPCTC
Reasons
1) XRV  RST , 1  2
2) TS VR
3) TV SR
4) RSTV is a parallelogram
Given
 corr 's 
 alt. int. s 
opp. sides 
4)
Reasons
Statements
1) DB bisects AC, 1  2
2) AE  EC
3) DEC  AEB
4) DEC  BEA
5) DE  EB
6) ABCD is a parallelogram
Given
Def. of segment bisector
Vertical angles are congruent
ASA
CPCTC
Bisecting Diagonals 
5)
Statements
Reasons
1) CTRS , IS bisects CSR
UT bisects CTR
2) CS  TR
3) C  R
4) CSI  ISU , ITU  UTR
5) mCSI  mISU , mITU  mUTR
6) mCSI  mISU  mCSU
mITU  mUTR  mITR
7) CSU  ITR
8) mCSU  mITR
9) mCSI  mISU  mITU  mUTR
10) mCSI  mUTR
11) CSI  UTR
12) ICS  URT
13) IS  TU
6)
Statements
1) MANG, MO  NS
2) MA  NG , MG  AN
3) MA NG MG AN
4) AMO  GNS , GMO  ANS
5) AMO  GNS , GMO  ANS
6) AO  GS , GO  AS
7) GOAS is a parallelogram
1) Given
2)  opp. sides
3)  opp. angles
4) Def. of < bisector
5) Def. of congruent angles
6) Angle Addition Postulate
7)  opp. angles
8) Def. of congruent angles
9) Substitution
10) Subtraction
11) Def. of congruent angles
12) ASA
13) CPCTC
Reasons
1) Given
2)  opp. sides
3)  opp. sides
4)  alt.int s
5) SAS
6) CPCTC
7)  opp sides 
7)
Statements
1) SINR, FR  IT
2) SI  RN SR  IN
3)
4)
5)
6)
7)
SI RN , SR IN
SIT  FRN , SRF  NIT
SRF  NIT , SIT  NRF
FS  NT , ST  FN
FSTN is a parallelogram
Reasons
1) Given
2)  opp. sides
3)  opp. sides
4)  alt. ext. angles
5) SAS
6) CPCTC
7)  opp sides 