8.1.13

13. OA and OB are two radii of a circle meeting at right angle. From A and B two parallel chords AX and BY are drawn. Prove AY⏊BX. Given: : OA and OB are two radii of a circle meeting at right angle. AX and BY are chords. To prove : :AY ⏊ BX Proof : : Since OA and OB are two radii of a circle meeting at right angle, ∠AOB = 90• ∠AXB = ∠AYB =½ ∠AOB = 45• (The 1) Since AX//BY, ∠XAZ = ∠ZYB = 45 and ...