#Rotation rules for geometry series#

I could reflect it acrossĪ whole series of lines. To reflect it, let me actually, let me actually make a line like this. Two, three, four, five, this not-irregular If we reflect, we reflect acrossĪ line, so let me do that. You imagine the reflection of an image in a mirror or on the water, and that's exactly what Notion of a reflection, and you know what reflection Now let's look at another transformation, and that would be the That are on our quadrilateral, I could rotate around, I could I don't have to just, let me undo this, I don't have to rotateĪround just one of the points that are on the original set Points this is the image of our original quadrilateralĪfter the transformation. So, I had quadrilateral BCDE, I applied a 90-degree counterclockwise rotation around the point D, and so this new set of The point of rotation, actually, since D is actually the point of rotation that one actually has not shifted, and just 'til you get some terminology, the set of points after youĪpply the transformation this is called the image Vertices because those are a little bit easier to think about. To this point over here, and I'm just picking the I've now rotated it 90 degrees, so this point has now mapped Points I've now shifted it relative to that point So, every point that was on the original or in the original set of So I could rotate it, I could rotate it like, that looks pretty close to a 90-degree rotation. So if I start like this IĬould rotate it 90 degrees, I could rotate 90 degrees, Rotate it around the point D, so this is what I started with, if I, let me see if I can do this, I could rotate it like,Īctually let me see. I have another set of points here that's represented by quadrilateral, I guess we could call it CD orīCDE, and I could rotate it, and I rotate it I would In fact, there is an unlimited variation, there's an unlimited numberĭifferent transformations. That is a translation,īut you could imagine a translation is not the If I put it here every point has shifted to the right one and up one, they've all shifted by the same amount in the same directions. In the same direction by the same amount, that's Shifted to the right by two, every point has shifted This one has shifted to the right by two, this point right over here has Just the orange points has shifted to the right by two. Onto one of the vertices, and notice I've now shifted Let's translate, let's translate this, and I can do it by grabbing That same direction, and I'm using the Khan Academy To show you is a translation, which just means moving all the points in the same direction, and the same amount in Transformation to this, and the first one I'm going This right over here, the point X equals 0, y equals negative four, this is a point on the quadrilateral. You could argue there's an infinite, or there are an infinite number of points along this quadrilateral. Of the quadrilateral, but all the points along the sides too. Not just the four points that represent the vertices For example, this right over here, this is a quadrilateral we've plotted it on the coordinate plane. It's talking about taking a set of coordinates or a set of points, and then changing themĭifferent set of points. You're taking something mathematical and you're changing it into something else mathematical, In a mathematical context? Well, it could mean that

Something is changing, it's transforming from Transformation in mathematics, and you're probably used to Are they similar? What will you do to find out? Because these irregular pentagons are very irregular and far apart, you have to do a lot of transformations.Introduce you to in this video is the notion of a We will call our pentagons QUACK and SDRIB. Was that too easy? Here are two shapes that look a little like New England Saltbox houses from Colonial times. Once you get them near each other and in the same orientation on the page, you can compare the two using corresponding parts:īATH's long side compared to MUCK's long side is 30 40 rac 10 7 . If you said you would rotate and then translate (or the other way around) the two rectangles, you are correct.

Rotation rules for geometry