Congruent Triangles WS #3 SOLUTIONS

1. Congruent Triangles WS #3SOLUTIONS Today’s Homework: Triangle Proofs WS #4 Proof Activity WS Proofs Quiz – Tomorrow Chapter 4 Test - Friday

2. Statements Reasons 1. 1. given 2. ∠ ABD ∠CBD 2. given 3. 3. reflexive prop. 4. Δ ABD ΔCBD 4. SAS

3. Statements Reasons 1. ∠ 1 ∠2 1. given 2. 2. given 3. ∠ 3 ∠4 3. VA 4. Δ EFJ ΔHFG 4. ASA

4. Statements Reasons 1. 1. given 2. ∠ 1 ∠2 2. prop lines, all right ∠s 3. 3. given 4. 4. reflexive prop 5. Δ MRO ΔPRO 5. SAS

5. Statements Reasons 1.∠TVB ∠TSB 1. given 2.∠ 3 ∠4 2. def. angle bisector 3.∠ 1 ∠2 3. def. angle bisector 4. 4. reflexive prop 5. ΔSTV ΔSBV 5. ASA

6. Statements Reasons 1. 1. given 2. 2. given 3. 3. given 4.ΔTVA ΔXWA 4. SSS

7. Statements Reasons 1. 1. given 2. 2. given 3. 3. segment addition 4. 4. segment addition 5. 5. substitution 6. ∠ 5 ∠6 6. given 7. 7. reflexive prop 8.ΔBDG ΔFDG 7. SAS

8. Statements Reasons 1.O is midpt 1. given 2. 2. def. midpt. 3. O is midpt 3. given 4. 4. def. midpt. 5.∠ 1 ∠2 5. VA 6. ΔZOA ΔXOY 6. SAS

9. Statements Reasons 1. 1. given 2. 2. given 3.∠5 ∠6 3. given 4.ΔABC ΔDCB 4. SAS

10. Statements Reasons 1. ∠FGH is right ∠ 1. given 2. ∠JHG is right ∠ 2. given 3. ∠ FGH ∠JHG 3. def. lines, all right ∠s 4. 4. given. 5. 5. reflexive prop. 6. ΔFGH ΔJHG 6. SAS

11. Statements Reasons 1.∠P ∠S 1. given 2. O is midpt 2. given 3. 3. def. midpt. 4.∠ 1 ∠2 4. VA 5. ΔPOQ ΔSOR 5. ASA

12. Statements Reasons 1.∠QPS ∠QRS 1. given 2.∠ 1 ∠2 2. def. angle bisector 3.∠ 3 ∠4 3. def. angle bisector 4. 4. reflexive prop 5. ΔQPR ΔSPR 5. ASA

13. Statements Reasons 1. 1. given 2. ∠ 3 ∠4 2. AIA 3. 3. given 4. 4. reflexive prop 5. Δ WZX ΔYXZ 5. SAS

14. Statements Reasons 1. 1. given 2. ∠ 1 ∠2 2. prop lines, all right ∠s 3. D is midpt 3. given 3. 3. def. midpt. 4. 4. reflexive prop 5. Δ ADC ΔBDC 5. SAS