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Using Congruent Triangles: CPCTC

Using Congruent Triangles: CPCTC. Using Congruent Triangles: CPCTC. CPCTC: “Corresponding Parts of Congruent Triangles are Congruent” *You must prove that the triangles are congruent before you can use CPCTC*. This is the progression of your proofs. AAS, SAS, SSS, HL, ASA. CPCTC.

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Using Congruent Triangles: CPCTC

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  1. Using Congruent Triangles: CPCTC

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

  3. This is the progression of your proofs AAS, SAS, SSS, HL, ASA CPCTC

  4. Using CPCTC Given: <ABD  <CBD, <ADB  <CDB Prove: AB  CB B A C 1. <ABD  <CBD 2. <ADB  <CDB 1. Given 2. Given D 3. Reflexive Property 3. BD  BD 4. ΔABD ΔCBD 4. ASA (Angle-Side-Angle) 5. CPCTC (Corresponding Parts of Congruent Triangles are Congruent) 5. AB  CB

  5. Using CPCTC Given: MO  RE, ME  RO Prove: <M  <R O R M E • MO  = RE • ME  RO • Given • Given 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)

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

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

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

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

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