Get the solution to "To prove:The congruency of SO→=∼TO→. Given information: The..."

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Geometry
High school geometry
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2020-12-13

To prove:The congruency of

\vec{S O} \tilde{=} \vec{T O}

.
Given information: The following information has been given O is the center of the circle

∠ S O V = ∠ T O W

∠ W S O = ∠ V T O

Answer & Explanation

okomgcae

Skilled2020-12-14Added 93 answers

Formula used : By the virtue of similarity, if any two angles of the triangles are congruent, the third one will also be congruent
Proof : From the given information we can say that by the virtue of similarity, triangles OWS and OVT are similar.
Now, we know that

\vec{O W} = \vec{O V} = R

Thus, now we can say that

△ O W S \tilde{=} △ O V T

Hence, for congruent triangles, we use virtue of congruency to tell us that

\vec{S O} \tilde{=} \vec{T O}

Hence, the given congruency is proved

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