You can know how to slide a shape using the T ( a, b ) T ( − 10, 3 ) because the first value is always the x-axis. To avoid confusion, the new image is indicated with a little prime stroke, like this: P′, and that point is pronounced “ P prime. Suppose you have Point P located at (3, 4). The original reference point for any figure or shape is presented with its coordinates, using the x-axis and y-axis system, (x,y). In the figure above, the red arrows indicate the. The first step is to write down the coordinates of the endpoints of line segment PQ. It is a type of rigid transformation, which means that the figures are congruent before and after the transformation. Example 01: Translate a Line Segment Perform the following transformation on line segment PQ: T-8,4 In this example, you have to translate line segment PQ -8 units horizontally and +4 units vertically.
When translating an object, we move the object in a specific direction for a specific length, along a vector. We will start with the rigid motion called a translation. We move every point of the shape a certain distance left or right, and up or down, to create a new shape thats the same size and shape as the original. In geometry, a translation is a type of a transformation that moves a geometric figure in a given direction without changing the size or orientation of the figure. When describing a rigid motion, we will use points like P and Q, located on the geometric shape, and identify their new location on the moved geometric shape by P and Q. We use the letter 'T' to represent translations. Reflection – exchanging all points of a shape or figure with their mirror image across a given line (like looking in a mirror) In translations, we slide a shape around on a grid. Stretch – a one-way or two-way change using an invariant line and a scale factor (as if the shape were rubber) Shear – a movement of all the shape’s points in one direction except for points on a given line (like a crate being collapsed) Rotation – turning the object around a given fixed pointĭilation – a decrease in scale (like a photocopy shrinkage)Įxpansion – an increase in scale (like a photocopy enlargement) Translation – moving the shape without any other change You can perform seven types of transformations on any shape or figure: In a translation, each point in a figure moves the same distance in the same direction. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.įor example, you may find you want to translate and rotate a shape. A translation (or 'slide') is one type of transformation. an isometry) because it does not change the size or shape of the original figure. A translation is a rigid transformation (a.k.a.