Question

1. through any three exactly one plane. (po 15) if any two points li those two points also 16) if two lines interse ray line point plane 17) if two planes intersect, they intersect in exactly one (postulate 1.2e) point ray line segment

Explanation:

1. Through any three non - collinear points there is exactly one plane. This is a fundamental postulate in geometry. If the three points were collinear, they would lie on a line and there would be infinitely many planes passing through that line.
2. If any two points lie on a plane, then the line containing those two points also lies on the plane (Postulate 1.2C).
3. If two lines intersect, then their intersection is exactly one point (Postulate 1.2D).
4. If two planes intersect, they intersect in exactly one line (Postulate 1.2E).

Answer:

1. non - collinear points
2. line
3. point
4. line