The image from these transformations will not change its size or shape. The rigid transformations are reflection, rotation, and translation. Rigid transformationsĪ rigid transformation does not change the size or shape of the preimage when producing the image. The blue octagon is a translation, while the pink octagon has rotated. Which octagon image below, pink or blue, is a translation of the yellow preimage? Translation transformation definition TranslationĪ translation moves the figure from its original position on the coordinate plane without changing its orientation. A shear does not stretch dimensions it does change interior angles. When a figure is sheared, its area is unchanged. To shear it, you 'skew it,' producing an image of a rhombus: Shear transformation definition Using the origin, (0, 0), as the point around which a two-dimensional shape rotates, you can easily see rotation in all these figures: Rotation transformation - definition and examplesĪ figure does not have to depend on the origin for rotation. The purple trapezoid image has been reflected along the x-axis, but you do not need to use a coordinate plane's axis for a reflection. Which trapezoid image, red or purple, is a reflection of the green preimage? Reflection transformation- definition and examples A reflection image is a mirror image of the preimage. Imagine cutting out a preimage, lifting it, and putting it back face down. The yellow triangle, a dilation, has been enlarged from the preimage by a factor of 3. Which triangle image, yellow or blue, is a dilation of the orange preimage? Dilation transformation - definition and examples Translation - The image is offset by a constant value from the preimage 'a slide.'ĭilate a preimage of any polygon is done by duplicating its interior angles while increasing every side proportionally. Shear - All the points along one side of a preimage remain fixed while all other points of the preimage move parallel to that side in proportion to the distance from the given side 'a skew.,' Rotation - The image is the preimage rotated around a fixed point 'a turn.' Reflection - The image is a mirrored preimage 'a flip.' There are five different transformations in math:ĭilation - The image is a larger or smaller version of the preimage 'shrinking' or 'enlarging.' The image is the figure after transformation. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system.Ī preimage or inverse image is the two-dimensional shape before any transformation. Transformations in the Coordinate PlaneĪ transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Translation geometry rules