2. Using Congruent Triangles: CPCTC

3. Using Congruent Triangles: CPCTC
“Corresponding Parts of Congruent Triangles are Congruent”
*You must prove that the triangles are congruent before you can use CPCTC*

4. This is the progression of your proofs
Use your given information
Prove your triangles are congruent
Only now can you show extra parts are congruent
AAS, SAS, SSS, HL, ASA
CPCTC

5. Using CPCTC Given: <ABD  <CBD, <ADB  <CDB Prove: AB  CB
3. BD  BD
3. Reflexive Property
4. ΔABD  ΔCBD
4. ASA (Angle-Side-Angle)
5. AB  CB
5. CPCTC (Corresponding Parts of Congruent
Triangles are Congruent)

6. Using CPCTC Given: MO  RE, ME  RO Prove: <M  <R O R M E
3. OE  EO
3. Reflexive Property
4. ΔMEO  ΔROE
4. SSS (Side-Side-Side)
5. <M  < R
5. CPCTC (Corresponding Parts of Congruent Triangles
are Congruent)

7. Using CPCTC Given: SP  OP, <SPT  <OPT Prove: <S  <O O T

8. Using CPCTC
Given: KN  LN, PN  MN
Prove: KP  LM K L N M P

9. Using CPCTC Given: <C  <R, <T  <P, TY  PY
Prove: CT  RP C R Y P T

10. Using CPCTC
Given: AT  RM, AT || RM
Prove: <AMT  <RTM A T M R