# State the third congruence required to prove the congruence of triangles using the indicated postulate.12210203742.jpga)bar(OM) ~= bar(TS)b)/_M ~= /_Sc)bar(ON) ~= bar(TR)d)/_O ~= /_T

State the third congruence required to prove the congruence of triangles using the indicated postulate.

a)$\stackrel{―}{OM}\stackrel{\sim }{=}\stackrel{―}{TS}$
b)$\mathrm{\angle }M\stackrel{\sim }{=}\mathrm{\angle }S$
c)$\stackrel{―}{ON}\stackrel{\sim }{=}\stackrel{―}{TR}$
d)$\mathrm{\angle }O\stackrel{\sim }{=}\mathrm{\angle }T$

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Given,

Step 2
By using ASA postulate, two angles and included side must be equal.
Here,
$\mathrm{\angle }N\stackrel{\sim }{=}\mathrm{\angle }R$
$\stackrel{―}{ON}\stackrel{\sim }{=}\stackrel{―}{RT}$
Therefore the third congruence required is,
$\mathrm{\angle }O\stackrel{\sim }{=}\mathrm{\angle }T$.