Answer:
Correct option is C.) X, V, and Y are collinear points.
Explanation:
Given ΔXYZ with sides YZ and YX intersected by line VW. we have to tell Which fact is not used to prove that XYZ is similar to VYW.
As we know the similarity rules, to prove the two triangles similar we need to prove angles or sides congruent or in proportion.
Option 1: The reflexive property showing an angle is congruent to itself helps to prove triangle congruent
Option 2: The Corresponding Angles Postulate helps to prove angles are congruent.
Option 3: A transversal can help prove angle congruence.
From all the given options, all the three options A,B and D are related to angles congruence, only the option 3 that is X, V, and Y are collinear points is the option which does not give any result with the help of that we can prove the angles or sides congruent or we can say triangles congruent.
Hence, the correct option is C.