![]() ![]() The four main transformations are rotation, resizing, reflection, and translation. 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. In geometry, transformations are actions performed on geometric figures that change the form of the figure. 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. ![]() The order of transformations performed in a composite transformation. A composite transformation is when two or more transformations are performed on a figure (called the preimage) to produce a new figure (called the image). v, to be the rotation we get by pointing our right-hand thumb in the direction of v, and rotating around the axis through vfor radians in the direction given in this picture: Figure 3: The right-hand rule for rotations, from wikimedia. Rotation Rules: Where did these rules come from? In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! Rotate 90 counterclockwise (same as 270 clockwise) (x, y) (y, x).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |