Reflection in Math

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Sub Topics Reflection math definition

By the term Reflections Math, we Mean the line where two halves of any figure are exactly equal. Then we say that one side of the figure is reflection half of the other. While we study Reflection Geometry, we draw the line in between complete figure such that we get two halves of the figure exactly equal. Reflection in math means that the line in the figure, when the figure is folded, exactly overlaps each other. While we study about the reflection in math, we must ensure that line representing the reflection Symmetry of the figure is drawn in form of the dotted lines. Different figures have different number of reflection symmetry. Let us first look at the irregular figures. Such figures do not have any reflection symmetry. It simply means that, we are not able to draw any line on the irregular figures, as they are not divided in two equal halves. Now let us look at Circle and see that is it comes in reflection math or not? In a circle, every Diameter we draw divides the figure into two equal halves. So we say that there is infinite number of reflection symmetry in a circle. Now let us look at an Isosceles Triangle. The Median drawn on an isosceles triangle divides the triangle in two equal halves, so we say that, the triangle has one reflection symmetry. Let us now consider the figure with four sides, which we call as quadrilateral. In case of an equilateral quadrilateral, which we call as Square, have four reflection symmetry. Thus, we can say that, a square has 4 lines of reflection symmetry.

Reflection as the transformation is defined where the line of Symmetry divides the figure in two equal halves and one part of the figure exactly resembles another half, in angle measure as well as the magnitude.
When we define reflection Math, one half of the figure is exactly equal to second half, in such a way that if figure is folded from the line of symmetry, then two halves overlap each other. According to reflection math definition, reflection forms a mirror image of any given figure. Different geometrical figures have different number of lines of symmetry. Let us start with the Circle. If we draw any Diameter of the circle, we observe that the diameter divides the figure in two equal halves. Thus, we come to the observation that, each diameter is the line of symmetry of the circle. With this we can draw infinite number of diameters in given circle. So, we may have infinite lines of symmetry for a given circle.
Next figure we take is Square. If we join the diagonals of a square, we observe that they divide the figures in equal halves. So, we say that the two diagonals of a square are line of symmetry and cause reflection. Similarly, if the mid points of opposite sides of a square are joined, then they also divides figure in two equal halves so they are also the line of symmetry of a square. So we come to the conclusion that the square has 4 lines of symmetry.

In the same way, if we look at the English alphabets, we find that the alphabets H, O, X, I have both the Vertical and Horizontal Lines of reflection on other hand T, E, U, M, B, C, D , A have only one line of reflection.