![]() ![]() Another rigid transformation includes rotations and translations. Meaning the area of triangle ABC is equal to the area of triangle A |B |C |. A common example of glide reflections is footsteps in the sand. Clearly, P will be similarly situated on that side of OY which is. Therefore, the only required information is the translation rule and a line to reflect over. Let P be a point whose coordinates are (x, y). In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. For example, if we were to measure the area of both right triangles, before and after reflection, we would find the areas to remain unchanged. A glide reflection is a composition of transformations. Reflection over the y-axis (x, y) when reflected. Reflections are a special type of transformation in geometry that maintains rigid motion, meaning when a point, line, or shape is reflected the angles, and line segments retain their value. What are the rules for reflections Reflection over the x-axis (x, y) when reflected becomes (x, -y). ![]() When describing a reflection, you need to state the line which the shape has been reflected in. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4). A reflection is like placing a mirror on the page. Shapes that reflect onto themselves are a bit tricky but not impossible, just remember to measure out the distance of each coordinate point and reflections should be a breeze! Rigid Motion: The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. Notice our newly reflected triangle is not just a mirror image of itself, but when the original figure is reflected it actually ends up overlapping onto itself!? How did this happen? That is because this our reflection line came right down the middle of our original image, triangle ABC. ![]()
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