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.
image
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,
image
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,
\(\displaystyle\angle{O}\stackrel{\sim}{=}\angle{T}\).
0

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