Use δxyz below to answer the question that follows:

triangle xyz with sides yz and yx intersected by line vw

which fact is not used to prove that xyz is similar to vyw?

a.) angle y is congruent to itself due to the reflexive property.
b.) angles zxy and wvy are congruent due to the corresponding angles postulate.
c.) x, v, and y are collinear points.
d.) xy is a transversal line passing vw and xz.

The correct answer is:

C) X, V and Y are collinear points.

Explanation:

Three points being collinear does not do much in a similarity proof.

In order to prove similarity, we want to prove that all of the angles of one triangle are congruent to all of the angles of the other triangle.

The reflexive property showing an angle is congruent to itself helps do this.
The Corresponding Angles Postulate helps to prove angles are congruent.
A transversal can help prove angle congruence.

Collinear points will prove that angles sum to 180°, which will not help us prove similarity between triangles.