Question

which statement about the image pictured is false? point k is on line segment mc; contains ray mv; contains line segment kc; point v is not on line segment km

Explanation:

1. Analyze "point K is on line segment MC": From the diagram, K lies between M and C on the vertical segment, so this is true.
2. Analyze "contains ray MV": A ray MV starts at M and goes through V, but the diagram shows a segment from M to V (not a ray extending infinitely from M through V). So the figure does not contain ray MV (as a ray needs to extend infinitely in one direction), making this statement false.
3. Analyze "contains line segment KC": KC is a vertical segment in the diagram, so the figure contains it, true.
4. Analyze "point V is not on line segment KM": KM is vertical, V is not on it, so this is true.

Answer:

contains ray MV