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Question

In each pair of triangles in the following figures, parts bearing indentical marks are congruent. State the test and correspondence of vertices by which triangles in each pair are congruent.
(i)

(ii)

(iii)

(iv)

(v)

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Solution

(i)

By SAS test, in the correspondence XWZ ↔ YWZ.
(ii)

By Right-hand Side test, in the correspondence KJI ↔ LJI.
(iii)

By SSS test, in the correspondence HEG ↔ FGE.
(iv)

By ASA test, in the correspondence SMA ↔ OPT.
(v)

By AAS test, in the correspondence MTN ↔ STN.


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