Introduction to transformations | Transformations | Geometry | Khan Academy

In this video you are in math I will talk about the concept of transfer. We come across these texts very often in everyday life. Transfer means modify, conversion from one object to another. What does transmit mean in mathematics? Where a mathematical illustration to another prestige like we attract. In other oaths, of any detail coordinates, another transpose to coordinate. For example, look who it is. In the coordinate plane was depicted as a rectangle. It’s just a rectangle Not 4 mountain items, but on its places which is the determined of all points. There are many points now. It is rectangular an infinite quantity over you can argue that the point is. For example, now x= 0, y= -4, this is any point on the rectangle. We can apply the change to it. When it comes to applying transmits, all points here in the same direction, intended to transfer the same amount. Here we can use Khan Academy’s transfer programmes. Let’s apply the move here. Let’s take one of the hill levels and change its location to two groups to the right. The place of all the dots , not only the orange flecks the two groups will change to the right. This stage 2 forces to the right, this station will too vanish 2 parts to the right. All targets here, in the same direction, the same amount will change location. Locate the dots If we change 1 gang to the right and 1 component up, all of them in the same direction, in the same quantity can be changed. Here’s a transpose. This is not the only way to transform. There are so many alternatives. There are an infinite number of different types of metamorphosis. For example, we can apply a rotation now. Here’s another rectangle objects were described. We can call this a CD or BCDE. We can apply rotation now. For example, this figure is around point D. we can apply rotation. Let’s see what the hell happened. We can turn it this behavior. In this case, we can apply a 90 -degree turn here. Do not turn 90 degrees now we can apply. There is a 90 severity turn here. To all the points now considering this point We have applied rotation. We rotated those times 90 degrees. So that’s the point. This phase has been moved here. To be able to distinguish more easily I elected the hill items. This object has become here. Turning to target D. Since the pitch of lotion, point D does not change location. This person received after applying the give the new illustration is called the transfer figure. There was a BCDE rectangle. It is counterclockwise with respect to point D. pirouette was applied in the direction, Since the translation is applied here then you will see a brand-new rectangle. Let’s regenerate it. Rectangular to apply rotation It is not necessary to choose a time on which. Rotation can be applied to the whole figure. This person looks like this. As you can see, we have applied a different turn here. This is a different turn. Rotation can be applied to any point. Now let’s look at another translation. This is a reflection. We know from everyday life what it means to be rebellious. In the mirror of any object or have you seen a thoughtfulnes on the liquid. The same thing happens now. We were applicable the contrast to a line. There are currently 1, 2, 3, 4, 5 slope parts now. Let’s apply the opposite to this pentagon. Let’s start firstly let’s sit our row. We can apply the opposite to this line. Let’s start. What is necessitated by the opposite of the line? Imagine that this string is a mirror. Harmonizing to this line, symmetrical thought we must apply. Let’s start. Now it is, ready. This target is this distance from the line. The correspond extent is on the other side of the line, but at the same distance from it. The distance between this time and the line it is the same as the interval between the stage and the line. But they are on different features. All the conversions I just goes to show, that is transportation, thinking, gyration, each is a constant transformation. The name “fixed” in everyday life do you know what it necessitates Fixed conveys not fixed. That means change it you can’t, you can’t zoom in or out. Constant conversion that’s what it intends. Mathematically speaking, during constant conversion the span and size of the tilts do not change. As you can see, during the transformation the length between this pitch and this level, The distance between spots T and R. and between items that correspond to them the interval are similar. The tilt here, The sizing of the tilt R, T, Y, the slant corresponding to it is the same size. The same thing is the case when a carry is applied. You can imagine that they are fixed objectives. We cannot change their size, they are not changeable, they remain as they are. To become precarious What can we pay as an example? Assume that it is small or large. When you increase the size of it, tilts can remain the same, but the span will change. This is not a stable transformation. If we magnify one slope of it, or really change the site of this detail, if the other points remain the same, in such cases, very, there will be an shaky conversion. I hope you understand. This is very interesting. In an prowes program, or the number “youre playing” also in video games “youre seeing” a few examples of changeover. These can sometimes be two-dimensional, sometimes three-dimensional. In the upper grades, math entirely of an area you will see that it belongs to transformation. Having a good graphics processor with some computers, who the hell is scientific conversions successful employment supplies those computers yourself in 3D or another format can reflect. This is a very interesting topic ..

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