Question

select the postulate about two planes.
○ postulate 2: through any two different points, exactly one line exists.
○ postulate 4: if two points lie in a plane, the line containing them lies in that plane.
○ postulate 5: if two planes intersect, then their intersection is a line.
○ postulate 1b: space contains at least four points not all on one plane.
○ postulate 3: through any three points that are not one line, exactly one plane exists.
○ postulate 1: a line contains at least two points.
○ postulate 1a: a plane contains at least three points not all on one line.

Explanation:

To identify the postulate about two planes, we analyze each option:

• Postulate 2: About a line through two points (not planes).
• Postulate 4: About a line in a plane (not two planes).
• Postulate 5: Describes the intersection of two planes (a line), which is about two planes.
• Postulate 1b: About space and points/plane (not two planes).
• Postulate 3: About a plane through three non - collinear points (not two planes).
• Postulate 1: About a line and points (not two planes).
• Postulate 1a: About a plane and points (not two planes).

Answer:

Postulate 5: If two planes intersect, then their intersection is a line.