Question

If UT and VS biscect each other at W, EHAT method could you use to prove the triangles congruent?

Answer 1

Answer: Where they bisect each other at W the 2 lines are split in the center by one another which means both of those lines are 180

Explanation:

Answer 2

SAS

Explanation:

You have segments UT and VS bisecting each other at point W, and you want to show triangles UWV and TWS ae congruent.

SAS

Each half of the segment is congruent to the other half:

UW≅TW and VW≅SW

The angles between them are vertical angles so are congruent:

∠UWV ≅ ∠TWS

So, you have congruent corresponding sides and the angle between. The triangles UWV and TWS are congruent by the SAS congruence postulate.

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Additional comment

You can use substantially the same argument to say triangles UWS and TWV are congruent. The proof above shows UV≅TS. The congruence of triangles UWS and TWV shows US≅TV. Hence the figure TSUV is a parallelogram.