Section C no 13 13. ABCD is a rectangle. X and Y are points on side AD and BC respectively such that AY = BX. Prove that AX = BY. Share with your friends Share 0 Sanjari Kalantri answered this Dear Student, Given: ABCD is a rectangle, AY = BXTo prove: AX = BYProof: Since, ABCD is a rectangle, ∠XAB = ∠YBA = 90° - iIn ∆AXB and ∆BYA,AY = BX GivenAB = AB Common∠XAB = ∠YBA = 90° From i∴ By SAS congruence criterion,∆AXB ≅ ∆BYABy corresponding parts of congruent triangles (cpct),AX = BYHence, proved. 0 View Full Answer