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In this explainer, we will learn how to translate points, line segments, and shapes on the coordinate plane. Translations are one of the fundamental ways of moving geometrical objects without changing their shape.
29 Αυγ 2023 · Figure \(\PageIndex{1}\): Translation. This coordinate transformation is called translation, and can be applied to any curve in the \(xy\)-plane. The origin \(O=(0,0)\) is shifted to the point \(O'=(h,k)\), which serves as the origin of the \(x'y'\)-plane, 9 as in Figure \(\PageIndex{1}\). Let \(P=(x,y)\) be a point in the \(xy\)-plane.
Transformations are changes done in the shapes on a coordinate plane by rotation or reflection or translation. Learn about transformations, its types, and formulas using solved examples and practice questions.
In Geometry, the four basic translation or transformations are: Translation. Reflection. Rotation. Dilation or Resizing. In this article, let’s discuss the meaning of “Translation” in Maths, translation in the coordinate plane and examples in detail.
Translations on the Coordinate Plane. Any object represented in the coordinate plane can be translated horizontally (left/right) or vertically (up/down). Let us look at the last example to understand translations on the coordinate plane.
Translations in coordinate geometry. A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Translations on the coordinate plane. Coordinates allow us to be very precise about the translations we perform. Without coordinates, we could say something like, "We get B ′ by translating B down and to the right." But that's not very precise.
