2. The line segments XW and ZW are congruent because the line segments that are bisected are congruent
4. YW = YW because they are common for both triangles YXW and YZW
YW = YW . They are identical
5. the triangles WXY and WZY are the mirror reflection of one another. because they have common line segment YW and also XW= ZW
6. The triangles WXY and WZY are congruent so the sides lengths and angles are same.Hence XY = ZY