Maths 2: Relationships of Points, Lines and Planes

Postulates and Theorems

Postulate 1
A line contains at least two distinct points. A plane contains at least three non-collinear points. Space contains at least four non-coplanar points.

Postulate 2
If two distinct points are given, then a unique line contains them.

Postulate 3
Through any two points there are infinitely many planes. Through any three points there is at least one plane. Through any three non-collinear points there is exactly one plane.

Postulate 4
If two points are in a plane, then the line that contains those points lie entirely in the plane.

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

Theorem 1.1
If two distinct lines intersect, then they intersect in exactly one point.

Theorem 1.2
If there is a line and a point not in the line, then there is exactly one plane that contains them.

Theorem 1.3
If two distinct lines intersect, then they lie in exactly one plane.

PSHS-WV Opening of Classes Update

There are news circulating that the Philippine Science High School - Main Campus (Diliman) will open classes on 15-June instead of the systemwide mandated 8-June date.

Whether this news is true or not, the official statement coming from the Director of the Philippine Science High School - Western Visayas (Iloilo) as of posting time, is that, we will push through with the opening of classes come 8-June, Monday, tomorrow.

I repeat, Classes at Pisay-Iloilo will open on-schedule, June 8.

We will open regardless of postponement at the Main Campus.