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

Question
Congruence asked 2021-01-10
State the third congruence required to prove the congruence of triangles using the indicated postulate. a)$$\displaystyle\overline{{{O}{M}}}\stackrel{\sim}{=}\overline{{{T}{S}}}$$
b)$$\displaystyle\angle{M}\stackrel{\sim}{=}\angle{S}$$
c)$$\displaystyle\overline{{{O}{N}}}\stackrel{\sim}{=}\overline{{{T}{R}}}$$
d)$$\displaystyle\angle{O}\stackrel{\sim}{=}\angle{T}$$

## Answers (1) 2021-01-11
Given, Step 2
By using ASA postulate, two angles and included side must be equal.
Here,
$$\displaystyle\angle{N}\stackrel{\sim}{=}\angle{R}$$
$$\displaystyle\overline{{{O}{N}}}\stackrel{\sim}{=}\overline{{{R}{T}}}$$
Therefore the third congruence required is,
$$\displaystyle\angle{O}\stackrel{\sim}{=}\angle{T}$$.

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