2 Answers

Pablo Valdes · Answer 1 · 2020-08-24T17:47:32+0000

Answer:

$\triangle VWZ = \triangle YWZ$ . 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.

$\triangle VWZ = \triangle YWZ$

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