Vsehs3925 Vsehs3925
  • 13-12-2019
  • Mathematics
contestada

33 Given: RS and TV bisect each other at point X
TR and SV are drawn
Prove: TR || SV​

Respuesta :

AlonsoDehner AlonsoDehner
  • 13-12-2019

Answer:

Step-by-step explanation:

Given that RS and TV bisect each other at point X

Join RT and VS

Now we have two triangles RXT and VXS with a common vertex X

Compare these two triangles

RS=XS (mid point since bisect)

TX=XV (mid point)

Angle RXT = Angle VXS (vertically opposite angles)

Hence by SAS postulate the two triangles are congruent

Corresponding angles would be equal

i.e. angle RTV = Angle TVS

Since alternate angles made by a transversal are equal

TR is parallel to SV

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