So, to perform a translation, slide the points (figure) according to the instructions in the words or the algebraic expression of the instructions. T(x, y) = (x + 1, y - 4) moves the point 1 unit to the right and 4 units down. T(x, y) = (x, y + 9) moves the point vertically 9 units up. T(x, y) = (x - 7, y) moves a point horizontally 7 units left.(see the x - 7, y stays the same.) Let's study the coded message in the algebraic expression for a Translation: The orientation - or direction in which it points or faces doesn't change. Notice how a translation doesn't change anything but the position of the original figure. ![]() Generally, the image of point A is labeled A / (read " A prime"), so A / B / C / is the image of triangle ABC under the translation 3 units right and 5 units down. Note how the coordinates of A / B / C / are simply the coordinates of A, B and C with 3 added to each x-value and 5 subtracted from each y-value.Ī(5, 8) became A / (8, 3), B(2, 6) became B / (5, 1), and C(7, 5) became C / (10, 0). All we need is the original figure and the translation instructions - how far and in what direction to move or shift the figure.Įxample: Say we have triangle ABC in the diagram and we want to translate it 3 units rightĪnd 5 units down - we would do exactly that to points A, B and C - then we'd join the translated points to have the translated image of triangle ABC. The simplest transformation is a TRANSLATION. Translations (also called slide or shift) Rotations will be covered in a separate lesson. This lesson covers translations and reflections. ![]() They are TRANSLATIONS, REFLECTIONS and ROTATIONS. ![]() There are 3 kinds of geometric transformations that change the position of given shapes. Geometric transformers change the position of the figure in question. In the case of electricity, the transformer changes the state or quality of the current. Without the transformer, we could not run our CD players with the electrical current from a wall socket.Ī Transformation is a change of state or position. We plug it into a wall socket and it changes the alternating current that flows through the wires into direct current to run the device. When we buy a CD player or other device that operates on either electrical or battery power, it comes with a transformer - that black box attached to the wire. Transformations TRANSFORMATIONS: Making Changes
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