Explanation:
Statements Reasons
1. AK - angle bisector 1. Given
2. FP perpendicular AK 2. Given
3. <FAK congr <PAK 3. Definition angle bisector
4. Seg AK congr seg AK 4. Congr of seg's is reflexive
5. <AKF & <AKP are rt. angles 5. Def perpendicular lines
6. <AKF is congr <AKP 6. Thrm: Right angles are congr.
7. Triangle KAF congr triangle KAP 7. ASA
8. A_F = A_P 8. Corresp parts of congr tr are
congr