In each pair of triangles in the following figures, parts bearing identical marks are congruent. State the test and correspondence of vertices by which triangles in each pairs are congruent.

(i) In the triangles of
XWZ &
YWZ,

∵ Side XW = Side YW (Given)
∵ ∠XWZ=∠YWZ (Given)
∵ Side WZ is common between two Δs. (Given)
∴ By the property of SAS, it is proved that ΔXWZ≅ΔYWZ
(ii) In the triangles of
KJI &
LJI,

∵ Side KI = Side LI (Given Hypotenuse)
∵ Side IJ is same in both the triangles.
∴ By the property of Hypotenuse Side Test, it is proved that ΔKJI≅ΔLJI.
(iii) In the triangles of
HEG &
FGE,

∵ Side HG = Side FE (Given)
∵ Side HE = Side FG (Given)
∵ Side EG is common between two Δs. (Given)
∴ By the property of SSS, it is proved that ΔHEG≅ΔFGE.
(iv) In the triangles of
SMA &
OPT,

∵ ∠MSA=∠POT (Given)
∵ Side SM = Side OP (Given)
∵ ∠AMS=∠TPO (Given)
∴ By the property of ASA, it is proved that ΔSMA≅ΔOPT.
(v) In the triangles of
MTN &
STN,

∵ ∠MNT=∠SNT (Given)
∵ Side TN is common between two Δs. (Given)
∵ ∠MTN=∠STN (Given)
∴ By the property of ASA, it is proved that ΔMTN≅ΔSTN.
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