Answer:
Step-by-step explanation:
if you're asking for the proof and reasoning thing
1. yw⊥xz, yw bisects xz ⇒ given
2. xw≅zw ⇒ w is a midpoint
3.∠ywx and ∠ywz are right angles, so ∠ywx≅∠ywz ⇒ definition of perpendicular bisector
4. yw≅yw ⇒ reflexive
5. Δwxy≅Δwzy ⇒ SAS
6. xy≅zy ⇒ CPCTC