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CPCTC Congruent Triangles Pg. 3 #1 Statement Reason 1. LN bisects KLM 1. Given 2. LKM LMK 2. Given 3. 1 2 3. An angle bisector divides an angle into two congruent parts 4. LN LN 4. Reflexive postulate 5. ΔLKN ΔLMN 5. AAS AAS 6. NM NK 6. CPCTC Pg. 3 #2 Statement Reason 1. MN MP 1. Given 2. MR bisects NP 2. Given 3. NQ QP 3. A segment bisector divides a segment into two congruent parts 4. MQ MQ 4. Reflexive postulate 5. ΔMQN ΔMQP 5. SSS SSS 6. NQM PQM 6. CPCTC Pg. 3 #3 Statement Reason 1. HA MT 1. Given 2. HMA HTA 2. Given 3. 1 and 2 are right angles 3. Perpendicular segments form right angles 4. 1 2 4. All right angles are congruent 5. AH AH 5. Reflexive postulate 6. ΔMAH ΔTAH 6. AAS AAS Pg. 3 #4 Statement Reason 1. 1 2 1. Given 2. SM RT 2. Given 3. 1 and 3 are linear pairs 3. Two adjacent angles that form a 2 and 4 are linear pairs straight line are a linear pair 4. 1 and 3 are supplement ary 4. Linear pairs are supplementary 2 and 4 are supplement ary 5. 3 4 5. Supplements of congruent angles are congruent 6. SR ST 6. Sides opposite congruent angles of a triangle are congruent Pg. 3 #5 Statement Reason 1. AB BD 1. Given 2. ED DB 2. Given 3. AE bisects BD 3. Given 4. B and D are right angles 4. Perpendicular segments form right angles 5. B D 5. All right angles are congruent 6. BC CD 6. A segment bisector divides a segment into 2 congruent parts 7. 1 2 7. Vertical angles are congruent 8. ΔABC ΔEDC 8. ASA ASA 9. AB ED 9. CPCTC Pg. 3 #6 Statement Reason 1. MH AT 1. Given 2. 1 2 2. Given 3. 1 and 3 are linear pairs 3. Two adjacent angles that form a 2 and 4 are linear pairs straight line are a linear pair 4. 1 and 3 are supplement ary 4. Linear pairs are supplementary 2 and 4 are supplement ary 5. 3 4 5. Supplements of congruent angles are congruent 6. MT MT 6. Reflexive postulate 7. ΔMAT ΔTHM 7. SAS SAS Pg. 3 #7 Statement Reason 1. MR MP 1. Given 2. QM bisects PMR 2. Given 3. 1 2 3. An angle bisector divides an angle into two congruent parts 4. MQ MQ 4. Reflexive postulate 5. ΔMQP ΔMQR 5. SAS SAS 6. PQ RQ 6. CPCTC Pg. 3 #8 Statement Reason 1. ML AW 1. Given 2. KT MA 2. Given 3. 1 2 3. Given 4. TM TM 4. Reflexive postulate 5. KT TM MA TM 5. Addition postulate 6. KT TM KM MA TM AT 6. Partition postulate 7. KM AT 7. Substitution postulate 8. KML TAW 8. SAS SAS 9. KL TW 9. CPCTC Pg. 4 #9 Statement Reason 1. MI TG 1. Given 2. ME RG 2. Given 3. MI ME 3. Given 4. 1 and 2 are right angles 4. Perpendicular lines form right angles 5. ΔMIG and ΔMEG are right tria ngles 5. Triangles with right angles are right triangles 6. MG MG 7. ΔMIG ΔMEG 6. Reflexive Postulate 8. TGP RGP 7. Hy - leg Hy - leg 8. CPCTC Pg. 4 #10 Statement Reason 1. DO OA 1. Given 2. TA OA 2. Given 3. DO TA 3. Given 4. OC AG 5. 1 and 2 are right angles 4. Given 6. 1 2 6. All right angles are congruent 7. GC GC 7. Reflexive Postulate 8. OC CG AG GC 8. Subtraction Postulate 9. OC CG OG AG GC AC 9. Partition Postulate 5. Perpendicular lines form right angles 10. OG AC 10. Substitution Postulate 11. ΔDOG ΔTAC 11. SAS SAS 12. DG TC 12. CPCTC Pg. 4 #12 Statement Reason 1. CT CH 1. Given 2. CX bisects TCH 2. Given 3. 1 2 3. An angle bisector divides an angle into two congruent parts 4. CX CX 4. Reflexive postulate 5. ΔCXT ΔCXH 5. SAS SAS 6. TX XH 7. HTX THX 6. CPCTC 7. Angles opposite congruent sides of a triangle are congruent.
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