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

Answer Link

Otras preguntas

The standard form of the equation of a parabola is x=y^2+6y+1 what is the vertex form of the equation
What is the difference between traffic lights with red arrows and those with solid red lights?
What is the slope of the line? a.-2 b.-1/2 c.1/2 d.2
Three factors contribute to spoiled meat after game is harvested. one of these factors is:
Write x2 - 8x - 3 in vertex form.
Which graph below shows a system of equations with one solution? A) coordinate plane with two parallel lines B) coordinate plane with two intersecting lines C)
The width of a rectangular painting is 5 inches shorter than it's width. My question is, if I where to make a table, what would be the width, length, and area?
A roller coaster reaches its maximum potential energy when it
Compare to hardness of gypsum to an everyday substance
Will you be able to survive for 20 days without food? you have plenty of water