Show that the two triangles are similar. ∠VRS=∼∠ ? and ∠SVR=∼∠ ?, so △SVR∼△TRU.

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Globokim8

2021-08-08

Show that the two triangles are similar.

∠ V R S \tilde{=} ∠ ? and ∠ S V R \tilde{=} ∠ ?, s o △ S V R \sim △ T R U .

2abehn

Skilled2021-08-09Added 88 answers

Step 1
The figure given in the problem represents two triangles.
From the figure, angle VRS and angle RUT are congruent angles.
Step 2
For similarity

△ S V R \sim △ T R U

,
The angle SVR must to congruent to angle TRU.
From the above discussion, two angles of each triangle are congruent which makes

△ S V R \sim △ T R U

from AA similarity theorem.
Thus, to prove the similarity

△ S V R \sim △ T R U, ∠ s ∠ V R S \tilde{=} ∠ R U T and ∠ S V R \tilde{=} ∠ T R U

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