Question

If WZ is the perpendicular bisector of VY , what conclusion can you make?

VWZ=YWZ


VWZ=WVZ


VYW=YWV


WYZ=ZWV

Answer 1

Explanation:

VWZ=YWZ

Answer 2

`\triangle VWZ = \triangle YWZ`. Justification is given below.

Explanation:

Given:

`\angle WVZ = \angle WYZ`

WZ is the perpendicular bisector of VY.

∴
`\angle WZV = \angle WZY = 90\°\\and\\VZ = YZ`

In
`\triangle VWZ and \triangle YWZ`

`\angle WVZ = \angle WYZ` Given

`VZ = YZ`

`\angle WZV = \angle WZY = 90\°`

∴
`\triangle VWZ \cong \triangle YWZ` by ASA test

`\triangle VWZ = \triangle YWZ`

Here the correspondence of the vertices of a triangle should be match hence the option is first one that is.

`\triangle VWZ = \triangle YWZ`