Question

determine whether the statement is always, sometimes, or never true.
there is a similarity transformation between a scalene triangle and an equilateral triangle.

choose the correct answer below.

always
never
sometimes

Explanation:

Step1: Recall the condition for similar triangles

Similar triangles have corresponding angles equal.

Step2: Analyze angles of scalene and equilateral triangles

An equilateral triangle has all angles equal to \(60^{\circ}\). A scalene triangle has all angles of different measures. So, there is no way to have a similarity transformation (which preserves angle measures) between a scalene triangle and an equilateral triangle.

Answer:

Never