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平移、对称、旋转都不改变线段长度和角的大小,因而图形的形状、大小是不改变的,仅仅改变了图形的位置,所以称为变换.有关面积问题中,往往只考虑面积的大小而不计较图形的形状,对于变换的限制条件更弱,只要面积的大小保持不变就行了,这样的变换称为等积变换(也叫做等积变形).在初等几何里研究的是多边形的等积变换.
Translation, symmetry, and rotation do not change the length of the line segment and the size of the corner. Therefore, the shape and size of the figure do not change, only the position of the figure is changed, so it is called a transformation. In the area problem, only the size of the area is often considered. Do not care about the shape of the graph, the constraints on the transformation are even weaker, as long as the size of the area remains unchanged, such a transformation is called the equal product transformation (also called equal product deformation). In the elementary geometry, the study is of the polygon etc. Product transformation.