In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts.

(i) In the triangles of MST & TBM,

∵ Side MT = Side TM (Given Hypotenuse is common between two Δs)

∵ Side MS = Side TM

∴ By the property of Hypotenuse Side Test, it is proved that ΔMST≅ΔTBM.

∴ The observations are as

Side ST = Side BM

∠MST =∠TBM

MST TBM

∠SMT =∠BTM

∠STM =∠BMT.

(ii) In the triangles of PRQ & TRS,

∵ Side PR = Side TR (Given)

∵ ∠PRQ=∠TRS (Given vertically opposite angles)

∵ Side SR = Side TR (Given)

∴ By the property of SAS, it is proved thatΔPRQ≅ΔTRS.

The observations are as

Side PQ = Side TS

∠QPR = ∠RTS

∠RQP =∠RST

(iii) In the triangles of DCH & DCF,

∵ ∠DCH=∠DCF (Given)

∵ ∠DHC=∠DFC (Given)

∵ Side DC is common between two Δs. (Given)

∴ By the property of AAS, it is proved that ΔDCH≅ΔDCF.

∴ The observations are as

Side HC = Side FC

Side DH = Side DF

∠CDH = ∠CDF.