![]() 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 But points, lines, and shapes can be rotates by any point (not just the origin)! When that happens, we need to use our protractor and/or knowledge of rotations to help us find the answer.Introduce you to in this video is the notion of a The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. Rotation Rules: Where did these rules come from? ![]() ![]() Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! Know the rotation rules mapped out below.Use a protractor and measure out the needed rotation.We can visualize the rotation or use tracing paper to map it out and rotate by hand.There are a couple of ways to do this take a look at our choices below: Let’s take a look at the difference in rotation types below and notice the different directions each rotation goes: How do we rotate a shape? Rotations are a type of transformation in geometry where we take a point, line, or shape and rotate it clockwise or counterclockwise, usually by 90º,180º, 270º, -90º, -180º, or -270º.Ī positive degree rotation runs counter clockwise and a negative degree rotation runs clockwise. ![]()
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