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Figure 1.2

Figure 1.2 shows two lines l and m . Line l is such that it passes through A, B and C. Hence points A B and C are collinear. In the case of points P, Q and R there can be no single line containing all three of them hence they are called non-linear.

Similarly points and lines which lie in the same plane are called coplanar otherwise they are called non-coplanar.

Axiom : A plane containing a line and a point outside it or by using the definition of a line, a plane can be said to contain three non-collinear points. Conversely, through any three non collinear points there can be one and only one plane (figure 1.3).

Axiom : If two lines intersect, exactly one plane passes through both of them (figure1.4).

Axiom : If two planes intersect their intersection is exactly one line (figure 1.5).

Figure 1.3

Lines A, B and C are contained in the same plane P or A, B and C are three non-collinear points through which one plain P can pass.


Plane Q contains intersecting lines l and m .

Figure 1.5

Planes P and Q intersect and their intersection is line l .




1.1 Points, Lines and Planes
1.2 Line Segment
1.3 Rays and Angles
1.4 Some Special Angles
1.5 Angles made by a Transversal
1.6 Transversal Across Two Parallel Lines
1.7 Conditions for Parallelism

Chapter 2

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