![]() ![]() Now let's see what happens when we reflect a point over the y-axis: In other words: ( x, y ) becomes ( x, - y ) with a reflection over the x-axis. This is because when we reflect an image over the x-axis, we're always left with a negative y-value. You might have also spotted the fact that the reflective image now has a negative coordinate point. If we have just one point to work with, reflections are simple:Īs you can see, this point has been reflected over the x-axis. We call this fixed line the "line of reflection." When we reflect figures, we must map every one of their points across a fixed line. But if the object is not symmetrical, it changes when we reflect it.īecause only the position changes, reflected images are "congruent" or equal to their original images. This is the same concept as flipping a card upside down. When we reflect a figure, we flip it across some mirror line. ![]() You might recall that when we transform a geometric shape, we simply change its shape and or position on a plane.Ī reflection does not affect the size of the original shape, and it only affects its position. What is a reflection?Ī reflection is a type of transformation. But what does the term "reflection" mean in the world of math? While the general concept is the same, we need to cover some specific rules that apply only to geometrical reflection. After all, we see our own reflections whenever we look in the mirror. ![]()
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