3.5 - # 1, 3, 5, 7, 11
1.
1.
2.
3.
4.
Statement
AB ≅ DC
AC ≅ DB
BC ≅ BC
ABC ≅DCB
3.
Reason
1.
2.
3.
4.
Given
Given
Reflexive Property
SSS [1, 2, 3]
Statement
PM ≅ RM
∠SPM ≅ ∠ORM
∠M ≅ ∠M
PSM ≅ROM
1.
2.
3.
4.
5.
Reason
1.
2.
3.
4.
Given
Given
Reflexive Property
ASA [1, 2, 3]
Statement
JH ≅ KH
HG ≅ HM
∠5 ≅ ∠6
∠JHG ≅ ∠KHM
JHG ≅KHM
1.
2.
3.
4.
5.
7.
1.
2.
3.
4.
5.
Statement
Figure NOPRS is equilateral
OP ≅ SR
∠OPR ≅ ∠PRS
PR ≅ PR
OPR ≅SRP
OR ≅ SP
PT ≅ TR
OT ≅ ST
1.
2.
3.
4.
5.
6.
7.
8.
11.
1. PS ≅ PR
2. ∠QPS ≅ ∠QPR
3. PQ ≅ PQ
4. PQR ≅PQS
5. QR ≅ QS
Reason
Given
Given
Given
Addition Property
SAS [1, 2, 4]
Reason
1.
2.
3.
4.
5.
6.
7.
8.
Given
In an equilateral, all sides are congruent.
Given
Reflexive Property
SAS [ 2, 3, 4]
CPCTC
Given
Subtraction Property
Statement
Reason
1.
2.
3.
4.
5.
Given
Given
Reflexive Property
SAS [1, 2, 3]
CPCTC