YA is the bisector of ∠XYZ. O is any point on YA. If OP is parallel to YZ, then △YPO is _____.
Isosceles
(i) ∠XYA=∠AYZ.....
(given, YA is the bisecter of ∠XYZ
(ii) ∠POY=∠AYZ... (alternate angles)
(iii) ∴∠PYO=∠PYO... (from (i) and (ii))
(iv) Δ PYO is isosceles