![]() ![]() Translation: A transformation that moves every point in a figure the same distance in the same direction. Rotation: A transformation that turns a figure around a fixed point to create an image. In this section, students will be able to describe the effect of reflections on two dimensional figures using coordinates. Find a point on the line of reflection that creates a minimum distance. Reflection: A transformation that turns a figure into its mirror image by flipping it over a line.Determine the number of lines of symmetry.Describe the reflection by finding the line of reflection.3Sketch the translation of the triangle 5 units right and 1 unit up. Where should you park the car minimize the distance you both will have to walk? Students practice performing translations and reflections of triangles. Though a reflection does preserve distance and therefore can be classified as an isometry, a reflection changes the orientation of the shape and is therefore classified as an opposite isometry. Basic Transformation Geometry Reflection over x-axis: T(x, y) (x, -y) Reflection over y-axis: T(x, y) (-x, y) Reflection over line y x: T(x, y) (y, x). ![]() You need to go to the grocery store and your friend needs to go to the flower shop. Now we all know that the shortest distance between any two points is a straight line, but what would happen if you need to go to two different places?įor example, imagine you and your friend are traveling together in a car. A reflection is a type of geometric transformation in which a shape is flipped over a line. And did you know that reflections are used to help us find minimum distances? Watch an animated demonstration of translating and reflecting a triangle on the coordinate plane in this video from KCPT. ![]()
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