B. Given: bisects BAD and BCD

Prove: ≅

Statements Reasons

1. 1.Given

2. ≅ 2.

3. 3. Definition of bisector

4. KOM and TOE are vertical angles 4.

5. 5. Vertical angles are

congruent

6 . ΔKOT ≅ ΔTOE 6.

7. M ≅ E 7.

Statements Reasons

1. 1. Given

2. ACB ≅ ACD 2.

3. 3. Definition of bisector

4. 4. Reflexive PE

5. ≅ 5.

6. 6. By ASA Postulate

7. 7.​