Which statement can be considered true? A. WX:VY = YZ:VX B. XV:VY = WX:WZ C. WV is parallel to YZ. D. WV is not parallel to YZ.

To provide an accurate answer to the question, more context or a diagram is necessary because we need to understand the relative positions of the points W, X, V, Y, and Z. However, based on the given statements and assuming that these points are connected in some way within a geometric figure, we cannot be certain about any of the statements (A, B, C, or D) without additional information.

If W, X, V, Y and Z are points on lines and segments in a geometric figure, the truthfulness of statement A or B would depend on specific proportions and segment relationships. Statement C or D regarding the parallel nature of WV and YZ also depends on the actual arrangement of the points and lines involved.

Without additional details such as a given diagram or specific relationships in a geometry problem, it is not possible to determine with certainty which statement is true.

Extra: In geometry being able to determine if segments are parallel or the proportionality of segments relies on specific axioms, theorems, or given information. For instance: - For statement A, "WX:VY = YZ:VX" to be true, there would typically need to be a particular ratio or proportionality between the segments, such as those found in similar triangles or when certain lines intersect. - For statement B, "XV:VY = WX:WZ" to be true, similarly, there should be specific proportional relationships, potentially described by the Side-Splitter Theorem if we are dealing with a triangle with a line segment crossing it. - For statements C and D about the parallel nature of line segments WV and YZ, the truth would depend on the application of the Parallel Postulate or other properties like the corresponding angles postulate, if indeed we have a pair of parallel lines cut by a transversal.

In summary, each of these statements depends heavily on the specific properties and configurations of the geometric figure, which need to be provided or proven based on the given information and using geometric principles.