Question

which is a counterexample for the conditional statement shown?
if three distinct points lie in a plane, then the points can form a triangle.
○ the points form a different polygon.
○ the points form a circle.
○ the points form an open figure.
○ the points form a line.

Explanation:

A counterexample disproves the conditional by satisfying the hypothesis (three distinct coplanar points) but failing the conclusion (cannot form a triangle). Three collinear points (forming a line) are coplanar but cannot form a triangle, as they lie on a straight line with no enclosed triangular shape. The other options do not fit: different polygons require at least 3 non-collinear points, points on a circle can form a triangle, and an open figure is irrelevant to the core condition of non-collinearity.

Answer:

The points form a line.