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