Plane Geometry

In mathematics a plane is a flat two dimensional surface that extends infinitely far. When working exclusively in two dimensional euclidean space the defin.

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Corresponding angles of congruent triangles are equal corresponding sides have the same length the areas enclosed are equal and so on.

Plane geometry. You can think of the plane as a piece of paper with no thickness at all. Barrett o neill in elementary differential geometry second edition 2006. Planes can arise as subspaces of some higher dimensional space as with one of a room s walls infinitely extended or they may enjoy an independent existence in their own right as in the setting of euclidean geometry.

Plane geometry is the study of figures on a two dimensional surface that is on a plane. Technically a plane doesn t end at the edge of the paper it continues forever. We recall some familiar features of plane geometry first of all two triangles are congruent if there is a rigid motion of the plane that carries one triangle exactly onto the other.

Quadrilaterals rhombus parallelogram etc rectangle rhombus square parallelogram trapezoid and kite. A plane is the two dimensional analogue of a point zero dimensions a line one dimension and three dimensional space. Plane geometry is all about shapes on a flat surface like on an endless piece of paper.

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