SSC MTS Model Paper 1

AD||BC
⇒ AD||BQ

Point B is the mid-point of AE.
∴ Q is the mid-point of DE.
In ∆s DQC and BQE.
∠ DQC = ∠ BQE
∠ DCQ = ∠ QBE
∠ CDQ = ∠ QEB
∴ Both triangles ∆DQC and ∠ BQE are
similar.
∴ CQ : QB = 1 : 1