1. construction of angle bisector SP
1. given
2. ∠WPS ≅ ∠XPS
2. ♣
3. SP ≅ SP
3. reflexive property
4. PW = PX
4. PW and PX are radii of the circle with center P
5. PW ≅ PX
5. def. of ≅
6. △PWS ≅ △PXS
6. ♦