Triangle Congruence
CPCTC
November 2, 2011
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
X
XYW  ZYW
By SSS
Statements
Z
Reasons
1. W is the mdpt of XZ
1. Given
2. XW  ZW
2. Def of midpoint
S
3. XY  YZ
S
4. YW  YW
S
3. Given
4. Reflex. Prop.
5. ∆XYW  ∆ZYW
5. SSS (2, 3, 4)
6. ∡XYW  ∡ZYW
6.
If s   Corr. parts 
(CPCTC)
SWBAT: Use CPCTC to prove parts of triangles are congruent.
Given: PR bisects QPS and QRS.
Prove: PQ  PS
1
2 X
PQR  PSR
By ASA
Statements
1. PR bisects
QPS and QRS
2. ∡1  ∡2
∡3
 ∡4
3. PR  PR
4. ∆PQR  ∆PSR
5. PQ  PS
3
4
Reasons
1. Given
2. Def. of angle bisector
A
A
S
3. Reflexive Prop.
4. ASA (2, 3, 2)
5. If s   Corr. parts 
(CPCTC)
SWBAT: Use CPCTC to prove parts of triangles are congruent.
1
Statements
Reasons
1.
1. Given
2. ∡1 and ∡2 are right s
2. Def. of  lines
3. ∡1  ∡2 A
3. All right ∡s 
4.
4. Given
5. FC 
FC
5. Reflexive Prop.
6. DF 
AC S
6. Addition Post. (4, 5)
7.
A
7. Given
8. ∆EDF  ∆ BAC
8. AAS (3,7,6)
9.
9. If s   Corr. parts 
(CPCTC)
2
SWBAT: Use CPCTC to prove parts of triangles are congruent.
Student Response
SWBAT: Use CPCTC to prove parts of triangles are congruent.
Proofs Involving the Circles
SWBAT: Use CPCTC to prove parts of triangles are congruent.