CONVERSE GEOMETRY HOW TO

Thus, the given line below is referred to as the line AB or as the line. We use capital letters to refer to points and name lines either by stating two points on the line, or by using small letters such as and m. Given two distinct points A and B then there is one (and only one) line which passes through both points. When we draw a line it has width and it has ends, so it is not really a line, but represents a line in our imagination. A line has no width and extends inﬁnitely in both directions. In practice, when we draw a point it clearly has a deﬁnite width, but it represents a point in our imagination. A point marks a position but has no size. Because they are so simple, it is hard to give precise deﬁnitions of them, so instead we aim to give students a rough description of their properties which are in line with our intuition. The simplest objects in plane geometry are points and lines.

CONVERSE GEOMETRY HOW TO

Thus geometry gives an opportunity for students to develop their geometric intuition, which has applications in many areas of life, and also to learn how to construct logical arguments and make deductions in a setting which is, for the most part, independent In secondary school, the level of rigour should develop slowly from one year to the next, but at every stage clear setting out is very important and should be stressed.

In secondary school geometry, we begin with a number of intuitive ideas (points, lines and angles) which are not at all easy to precisely deﬁne, followed by some deﬁnitions (vertically opposite angles, parallel lines, and so on) and from these we deduce important facts, which are often referred to as theorems. Just as arithmetic has numbers as its basic objects of study, so points, lines and circles are the basic building blocks of plane geometry. Geometry also has many applications in art. Classifying such geometric objects and studying their properties are very important. A view of the roofs of houses reveals triangles, trapezia and rectangles, while tiling patterns in pavements and bathrooms use hexagons, pentagons, triangles and squares.īuilders, tilers, architects, graphic designers and web designers routinely use geometric ideas in their work. Geometry is used to model the world around us.

Converse geometry