Congruence

All of the above coin are identical in their shape and size. If tracing were made of one of tem, it could be placed so as to coincide exactly with any of the others. Such figures are said to be congruent. Such a correspondence is called a congruent between the two triangles and is represented by the symbol ……
Some theorem of congruence triangle
I. If the three sides of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.
II. If two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.
III. If two angles and the included sides of one triangle are equal to the corresponding parts of another triangle, then the triangle, then the triangles are congruent.
IV. If correspondence of two triangles or of a triangle with itself such that two angles and the side between them are respectively congruent to the two corresponding angles and the side between them, then the correspondence of the triangle is a congruence of the triangle.
V. If a correspondence of triangles is such that three sides of one triangle are congruent respectively to the three corresondint sides of the other triangle, then the correspondence is a congruence of the triangle.

Comments

Post a Comment

Popular posts from this blog

.Parallegram

A quadrilateral whose opposite sides are parallel is called a Parallegram. Properties of a parallelogram *Opposite sides of the parallelogram are equal. *Opposite angle of the parallelogram are equal. *The diagonals of the parallelogram bisect each other (I) Rectangle: Rectangle is a types of parallelogram but parallelogram is not rectangle because all angle of rectangle equal each other or all angle of rectangle equal to 90 degree. The diagonals of rectangle are equal. (II) Square: Square also a types of parallelogram but parallelogram and rectangle are not square because all side and angles of square are equal to each other. The diagonals of square are equal.
Read more

Convexity

In this chapter, we will define a reasonable number and verity of plane figures relating with physical object. Suppose, one of the most common physical plane figures in the plane surfaces of objects as top of oval tea table are the examples f plane physical objects. Such physical objects could be represented by the class of figures that could be cut, each in one piece, from flat sheets of paper. Some plane figures are given below. These above plane figures have any kind of properties which associate with the physical paper figure. Observing the above plane figure. we get "all in one piece" like its corresponding paper figure, and there exist a class of set (May be set of points or set of lines) if they are not hollow. Now we denote this class of sets by S: Although the figures are "all in one piece", all are not the plane convex figure. So, defining the plane convex figure, the sets must be planar nonlinear, bounded and convex. Any physical objects has an actual
Read more