![]() The only difference that is observed in the two types of flipping is the line of reflection. The concept of reflections is the same for horizontal flipping as for vertical flipping. The line of reflection can be either vertical or horizontal given that the sides of the figure are identical in that case. These figures have a line of reflection in the midpoint of the figures where each side is identical to the other. In general, these reflections also act in creating new and easier images using the symmetry concept, where one part of the figure is identical but mirrored to the other part of the figure which makes it a complete figure when coupled together. This property helps in photography such as taking pictures of a lake and a mountain that has a vertical reflection made on the lake. Moreover, the reflected version of the image will look upside-down as compared to the original figure due to each point of the image being at an equal distance from the line of reflection as the same point on the original image. Furthermore, if the line of reflection is not parallel to the x-axis, we will not achieve a properly vertically flipped image on the other side of the line. Every point on the image is equidistant to the line and hence this is a very important property of a vertical reflection. Properties of Vertical FlippingĪ vertical flipping consists of a horizontal reference line, “ Line of Reflection ,” that is parallel to the x-axis and converts the image into an identical but vertically inverted image. ![]() Its properties are very significant in its real-life applications, which further makes it much more viable in transformations and graphical conversions such as Laplace or Fourier transforms. Vertical flipping is a type of reflection that reflects a figure or a graph with respect to the horizontal line. Moreover, it’s fairly easy to redraw a reflection of a graph and this helps in finding solutions to problems quickly. Reflection has numerous uses in mathematics, real-life architecture, and graphs as well. Vertical reflection or vertical flipping is commonly used to simplify things by looking at them from a different perspective. ![]() Figure 1: A triangle vertically flipped to be shown upside-down along the x-axis
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