Congruent Triangles WS #3SOLUTIONS

Today’s Homework:1) Triangle Proofs WS #4

2) Proof Activity WSProofs Quiz – TomorrowChapter 4 Test - Friday

Statements Reasons

1. 1. given2. ABD CBD∠ ∠ 2. given3. 3. reflexive prop.4. Δ ABD ΔCBD 4. SAS

Statements Reasons

1. 1 2 ∠ ∠ 1. given2. 2. given3. 3 4∠ ∠ 3. VA4. Δ EFJ ΔHFG 4. ASA

Statements Reasons

1. 1. given

3. 3. given4. 4. reflexive prop5. Δ MRO ΔPRO5. SAS

2. 1 2 ∠ ∠ 2. prop lines, all right s ∠

Statements Reasons

1. TVB TSB ∠ ∠ 1. given2. 3 4∠ ∠ 2. def. angle bisector3. 1 2∠ ∠ 3. def. angle bisector4. 4. reflexive prop5. ΔSTV ΔSBV 5. ASA

Statements Reasons

1. 1. given2. 2. given3. 3. given4.ΔTVA ΔXWA 4. SSS

Statements Reasons

1. 1. given2. 2. given

6. 5 6∠ ∠ 6. given

8.ΔBDG ΔFDG 7. SAS

4. 4. segment addition

3. 3. segment addition

5. 5. substitution

7. 7. reflexive prop

Statements Reasons

1.O is midpt 1. given

3. O is midpt 3. given

5. 1 2∠ ∠ 5. VA

2. 2. def. midpt.

6. ΔZOA ΔXOY 6. SAS

4. 4. def. midpt.

Statements Reasons

1. 1. given2. 2. given3. 5 6∠ ∠ 3. given4.ΔABC ΔDCB 4. SAS

Statements Reasons

1. FGH is right ∠ ∠ 1. given

3. FGH JHG ∠ ∠ 3. def. lines, all right s ∠

5. 5. reflexive prop.

2. JHG is right ∠ ∠ 2. given

6. ΔFGH ΔJHG 6. SAS

4. 4. given.

Statements Reasons

2. O is midpt 2. given

4. 1 2∠ ∠ 4. VA

5. ΔPOQ ΔSOR 5. ASA

3. 3. def. midpt.

1. P S∠ ∠ 1. given

Statements Reasons

1. QPS QRS ∠ ∠ 1. given2. 1 2∠ ∠ 2. def. angle bisector3. 3 4∠ ∠ 3. def. angle bisector4. 4. reflexive prop5. ΔQPR ΔSPR 5. ASA

Statements Reasons

1. 1. given

3. 3. given4. 4. reflexive prop5. Δ WZX ΔYXZ 5. SAS

2. 3 4 ∠ ∠ 2. AIA

Statements Reasons

1. 1. given

4. 4. reflexive prop5. Δ ADC ΔBDC 5. SAS

2. 1 2 ∠ ∠ 2. prop lines, all right s ∠3. D is midpt 3. given

3. 3. def. midpt.