Point Line Plane Reasoning

It has no size i.e. no width, no length and no depth.

• line

• plane

• point

• arrow

These are mathematical terms which cannot be precisely defined. They can only be explained using examples and descriptions. In geometry, these are lines, points, and planes.

• undefined terms

• defined terms

• axioms and postulates

• theorems

Defined as a line of points that extends infinitely in two directions. It has one dimension, length.

• line

• plane

• point

• arrow

Extends infinitely in two dimensions. It has no thickness.

• line

• plane

• point

• arrow

A part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

• ray

• line segment

• plane

• angle

Part of a line that has a fixed starting point but does not have an endpoint. It can extend infinitely in one direction, meaning that it can go on forever in one direction.

• ray

• line segment

• plane

• angle

Plane- Point Postulate

• Plane P and plane Q intersect at line l .

• Plane Q contains at least three non-collinear points, B, C, and D.

• line CD passes through points C and D.

• Line l and line CD intersect at point C.

• Point C and point D lie in plane Q. So, line CD lies in plane Q.

Line Intersection Postulate

• Plane P and plane Q intersect at line l .

• Plane Q contains at least three non-collinear points, B, C, and D.

• line CD passes through points C and D.

• Line l and line CD intersect at point C.

• Point C and point D lie in plane Q. So, line CD lies in plane Q.

State the postulate illustrated by the diagram

• Plane-intersection postulate

• Two-Point postulate

• Plane-Point postulate

• Three point postulate

State the postulate illustrated by the diagram

• Plane Intersection postulate

• Line intersection postulate

• Plane- Line postulate

• Plane Point postulate