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SSS and SAS Homework
Decide whether the congruence statement is true. Explain your reasoning.
1. ABD  CDB
2. MAE  TAE
3. ABC  FED
Use the given coordinates to determine if ABC  DEF.
4. A(1, 2), B(4, –3), C(2, 5), D(4, 7), E(7, 2), F(5, 10)
Determine whether ABC  DEF. Explain your reasoning.
5.
6.
State the third congruence that must be given to prove that JRM  DFB using the indicated
postulate.
7. GIVEN: JR  DF , JM  DB , ____  ____ Use the SSS Congruence Postulate.
8. GIVEN: JR  DF , JMDB , ____  ____ Use the SAS Congruence Postulate.
9.
10.
Complete the proof.
GIVEN: AB  CD , BC  AD
C
PROVE: ABC  CDA
Complete the proof.
GIVEN: HI  JK ,
IJ  KH
PROVE: HIJ  JKH
Statements
1. AB  CD
Reason
1.
2. BC  AD
2.
3. AC  AC
3.
4. ABC  CDA
4.
Statements
1.
2.
Reason
1. Given
2. Given
3.
3. Reflexive property of Congruence
4.
4. SSS Congruence Postulate
11. Complete the proof.
GIVEN: WX  YX ,
ZI is the
.
I midpoint of WY
I
PROVE: WXZ 
Statements
YXZ
1.
Reason
1. Given
2.
2. Given
3.
3. Definition of Midpoint
4.
4. Reflexive property of
Congruence
5. SSS Congruence Postulate
5.
12. Complete the proof.
GIVEN: AB || CD , AB  CD
PROVE: ABC  DCB
Statements
1. AB || CD
Reasons
1.
2. ABC  DCB
2.
3. AB  CD
3.
4. CB  CB
4.
5. ABC  DCB
5.