Q1 of 3 Page 85

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 ΔXWZΔYWZ


(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 ΔKJIΔLJI.


(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 ΔHEGΔFGE.


(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 ΔSMAΔOPT.


(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 ΔMTNΔSTN.


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