When you look in the mirror, what do you see? You see a reflection, right? What is this reflection and why does it occur? Reflections happen everywhere- in mirrors, glass, water and your eye sight also works on this reflection phenomena. A reflection in simple words can be explained as a transformation of an object when seen through something reflects to be a mirror image. This reflection methodology has helped in for a lot of scientific and mathematical methods or experiments.
Making Reflections in Maths Fun
Let us first explain the definition of reflection in geometry. As you may know geometry is all about shapes and sizes. This geometry works on various theories. The definition of reflection in geometry can be termed as the flip of that shape or object after a particular line. Reflection in geometry is the mirror image of the shape without changing its size. The flip of the reflection happens on a particular line. This line is known as the ‘line of reflection.
While understanding the definition of reflection in geometry, you need to understand that most of the reflections are drawn on a co-ordinate plan. This makes it easier for them to be created. To draw a certain reflection you need each point of a preimage on the other/opposite side of the reflection. Let’s first clear out, what a preimage mean. When you begin transforming or drawing an object, the first thing you start with is called a preimage and the final object that you get after transformation is called an image. Also, you need to remember that you should draw the object in the same distance as the line of preimage so that the reflection is clear.
Let’s explain definition of reflection in geometry with the help of an example:
The object is a rectangle and the line of reflection is the y axis. To draw the line of the image, you should start plotting the rectangle’s points in the opposite side of the line of reflection.
(2, 2) reflects to (-2,-2)
(2, 4) reflects to (-2, -4)
(5, 2) reflects to (-5, -2)
(5, 4) reflects to (-5, -4)
All you need to do is join the points so that the reflection of the object is created and the image appears to be similar to the object. This called reflection.
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