Question

1. look at the simplified map and the photo. choose the number of the postulate that will answer the question. consider texas to be a plane.

which postulate is illustrated by the place where the two walls meet in the photo on the right?
postulate 1.2a: through any two points there is exactly one line.
postulate 1.2b: through any three noncollinear points there is exactly one plane.
postulate 1.2e: if two planes intersect, they intersect in exactly one line.
postulate 1.2c: if two points lie on a plane, then the line that contains those two points also lies on the plane.

Explanation:

• Postulate 1.2A is about two points and a line, which is not relevant to two planes (walls) intersecting.
• Postulate 1.2B is about three non - collinear points and a plane, not about two planes intersecting.
• Postulate 1.2E states that if two planes intersect, they intersect in exactly one line. The two walls (which can be considered as planes) meet (intersect) in a line.
• Postulate 1.2C is about a line on a plane given two points on the plane, not about two planes intersecting.

Answer:

Postulate 1.2E