Question

which statement is true? a three points are never collinear. b three points are never coplanar. c three points are always collinear. d three points are always coplanar.

Explanation:

Step1: Define collinear and coplanar

Collinear means on the same line, coplanar means on the same plane.

Step2: Analyze collinearity of three - points

Three points can be collinear (lying on the same straight - line) or non - collinear. So options A and C are false.

Step3: Analyze coplanarity of three - points

Through any three points, there is exactly one plane (if the points are non - collinear) or infinitely many planes (if the points are collinear). So three points are always coplanar. Option B is false and option D is true.

Answer:

D. Three points are always coplanar.