Congruent Triangles – Overlapping Triangles Pg. 12
Congruent Triangles – Overlapping Triangles Pg. 12.
Dec 17, 2015
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Congruent Triangles – Overlapping TrianglesCongruent Triangles – Overlapping Triangles
Pg. 12
Statement Reason
1. Given
Pg. 12 #1
BADC 1.
2. GivenBEDF 2.
FEAFFECE .5 5. Addition Postulate
6. Partition Postulate
AECF 7. 7. Substitution Postulate
3. GivenAFCE 3.
4. Reflexive PostulateFEFE 4.
AEFEAFCFFECE
.6
CFDAEB ΔΔ .8 SSSSSS .8
Statement Reason
1. Given
Pg. 12 #2
DFCE 1.
EFBFEFAE .5 5. Addition Postulate
6. Partition Postulate
7. Substitution Postulate
3. GivenBFAE 3.
2. Given21 2.
4. Reflexive PostulateEFEF 4.
BEEFBFAFEFAE
.6
EBAF 7.
BECAFD ΔΔ .8 SASSAS .8
Statement Reason
1. Given
Pg. 12 #3
SYSX 1.
YTSYXRSX .4 4. Addition Postulate
5. Partition Postulate
6. Substitution Postulate
2. GivenYTXR 2.
3. Reflexive PostulateSS 3.
STYTSYSRXRSX
.5
STSR 6.
TSXRSY ΔΔ .7 SASSAS .7
Statement Reason
2. Given
Pg. 12 #4
anglesright are and 4. CBADAB
CBADAB 5.
4. Perpendicular segments form right angles
CBDA 1. 1. Given
CBADAB ΔΔ .7 SASSAS .7
ABDA 2.
3. Given
5. All right angles are congruent
ABCB 3.
ABAB 6. 6. Reflexive Postulate
Statement Reason
2. Given
Pg. 12 #7
anglesright are 2 and 1 5.
21 6.
5. Perpendicular segments form right angles
1. Given
PNMN 2.
3. Given
6. All right angles are congruent
MNLP 3.
RSRS 7. 7. Reflexive Postulate
PNLP 1.
4. GivenNSPR 4.
RSNSRSPR .8 8. Addition Postulate
9. Partition Postulate
10. Substitution Postulate
NRRSNSPSRSPR
.9
NRPS 10.
MNRLPS ΔΔ .11 SASSAS .11
Statement Reason
2. Given
Pg. 12 #6
anglesright are and 5. CDFABD
CDFABD 6.
5. Perpendicular segments form right angles
1. Given
BFCD 2.
3. Given
6. All right angles are congruent
FEBD 3.
DEDE 7. 7. Reflexive Postulate
BFAB 1.
4. Given21 4.
DEFEDEBD .8 8. Addition Postulate
9. Partition Postulate
10. Substitution Postulate
FDDEFEBEDEBD
.9
FDBE 10.
CDFABE ΔΔ .11 ASAASA .11
Statement Reason
2. Given
Pg. 12 #9
1. Given
NSMR 2.TT 3. 3. Reflexive Postulate
TSTR 1.
NSTSMRTR .4 4. Subtraction Postulate
5. Partition Postulate
6. Substitution PostulateTNTM 6.
STMRTN ΔΔ .7 SASSAS .7
TNNSTSTMMRTR
.5
Statement Reason
1. Given
Pg. 13 #10
DBAB 1.
DA 2.
11 .5 CBEDBA 5. Addition Postulate
6. Partition Postulate
7. Substitution PostulateCBDABE .7
11 4. 4. Reflexive Postulate
CBEDBA 3.
2. Given
3. Given
CBDCBEABEDBA
1 1 .6
BCΔΔ .8 DABE ASAASA .8
Statement Reason
2. Given
Pg. 13 #11
1. Given
EADC 2.
ACAC 3. 3. Reflexive Postulate
ECDA 1.
ACECAD .4 SSSSSS .4 EACDCA .5 5. CPCTC
Statement Reason
2. Given
Pg. 13 #12
anglesright are and 4. CBADAB
CBADAB 5.
4. Perpendicular segments form right angles
1. Given
ABCB 2.
3. Given
5. All right angles are congruent
BCAD 3.
ABAB 6. 6. Reflexive Postulate
ABDA 1.
CBADAB ΔΔ .7 SASSAS .7
BDAC .8 8. CPCTC
Statement Reason
2. Given
Pg. 12 #13
1. Given
ECDA 2.
BB 6. 6. Reflexive Postulate
BEBD 1.
EBADBC .7 SASSAS .7 CA .8 8. CPCTC
ECBEDABD .3 3. Addition Postulate
4. Partition Postulate
5. Substitution Postulate
BCECBEBADABD
.4
BCBA 5.
Statement Reason
1. Given
Pg. 13 #14
BCAC 1.
CDCE 2.
BDAE 3.
2. Given
3. Given
BCDACE ΔΔ .4 SSSSSS .4
33 6. 6. Reflexive Postulate
BCDACE .5 5. CPCTC
33 .7 BCDACE 7. Subtraction Postulate
8. Partition Postulate
9. Substitution Postulate21 .9 23 13 .8
BCDACE
Statement Reason
1. Given
Pg. 13 #16
FDCF 1.
2. GivenFBCE 2.
3. GivenCFAECF 3.
4. Vertical angles are congruent
BFDCFA 4.
5. Substitution PostulateBFDECF .5
FDBCFE ΔΔ .6 SASSAS .6
BDEF .7 7. CPCTC
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