Coplanar as a Defined Term in Geometry

A Research Article Presented to the

Department of Interior Design

College of Fine Arts and Design

University of Santo Tomas

España, Manila, Philippines

In Partial Fulfilment of the Requirements

For Math 206: Plane and Solid Geometry

Bachelor of Science

Major in Interior Design

Submitted to:

Professor Crisencio M. Paner, M.Sc.

Submitted by:

Jazel G. Bello

March 2013

COPLANAR

§  It is a set of points if there is a plane which contains all points of the set. In short, all points that lie on the same plane are co-planar points.  

§  Any three points that in a plane must be a co-planar.

§  The difference between Collinear and the Co-planar is that Collinear is said to be point if there is a line that contains all the points.

• Plane - It is a two-dimensional that has an infinite length and infinite width but no thickness

Points A and b are co-planar because they lie on the same plane.

Point B, C, D, and E are co-planar,  whereas A, B, C, and D no co-planar.

In the first figure, the co-planar points are A, B, C, D, and E, as are the points F, G, H, J, and K in the second figure.

The two lines perpendicular to the same plane are co-planar.

A Co-planar line is defined as Parallel lines because it does not intersect or there is no point in common.

Reference:

Travers, K. Dalton, L. And Layton, K. Geometry (1987). Laidlaw Brothers, Publishers. United States of America.

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