When you perform translations, you slide a figure left or right, up or down. Let’s start by looking at rotating a point about the center ((0,0)). A great math tool that we use to show rotations is the coordinate grid. Here is a figure rotated 90° clockwise and counterclockwise about a center point. Rotation turning the object around a given fixed point. We specify the degree measure and direction of a rotation. We did this with a point, but the same logic is applicable when you have a line or any kind of figure. Finding Coordinates for Translations, Rotations, and Reflections. You can perform seven types of transformations on any shape or figure: Translation moving the shape without any other change. We will then move the point 3 units UP on the y-axis, as the translation number is (+3). The size and shape of both triangles are the same, but the triangle has been rotated around the origin 180 degrees. So, we will move the point LEFT by 1 unit on the x-axis, as translation number is (-1). It is a 180-degree rotation of the preimage. We are given a point A, and its position on the coordinate is (2, 5). Use the same logic for y-axis if the translation number is positive, move it up, and if the translation number is negative, move the point down. On our x-axis, if the translation number is positive, move that point right by the given number of units, and if the translation number is negative, move that point to its left. The key to understanding translations is that we are SLIDING a point or vertices of a figure LEFT or RIGHT along the x-axis and UP or DOWN along the y-axis.
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