2/13/2024 0 Comments Line of reflectionEach vertex of a reflected image is exactly the same _ away from the line of _ as the corresponding vertex of the pre-image, but on the _ side.For any reflection, the image and pre-image are _.The result of a reflection is called the _.A translation does not change the figure’s _. A reflection is a transformation the changes the _ of a figure.Use the word bank to complete the sentences below:.When you dragged the point on the line of reflection, how did the image compare to the pre-image? What stayed the same? What changed?.When you dragged the line of reflection, how did the image compare to the pre-image? What stayed the same? What changed?.When you dragged a vertex of the pre-image, how did the image compare to the pre-image? What stayed the same? What changed?.The most common lines of reflection are the x -axis, the y -axis, or the lines y x or y x. If it is a rotation, give the angle of rotation if it is a reflection, give the line of Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. When you dragged the pre-image, how did the image compare to the pre-image? What stayed the same? What changed? By examining the coordinates of the reflected image, you can determine the line of reflection.Use the words pre-image and image in your responses. In this example, the line of reflection is the y y -axis. Click and drag the blue point on the line of reflection and observe what happens.Īfter you have explored several reflections, answer the following questions in your math journal. A reflection is a mirror image of a figure over a line called the line of reflection.Click and drag the blue line of reflection and observe what happens. ![]() Click and drag a vertex of the pre-image and observe what happens.Click and drag the pre-image (the red triangle) and observe what happens.Click on the REFLECTION button on the left.Use the link below to explore reflections: The original figure is called the pre-image. The law of reflection is illustrated in Figure 25.2.1, which also shows how the angles are measured relative to. The angles are measured relative to the perpendicular to the surface at the point where the ray strikes the surface. Finding Images of Point Reflections in the Origin: You Try a) The vertices of ABC are A(2, 4), B(6, 3), and C(3, 2). The result of a transformation is called the image. Figure 25.2.1: The law of reflection states that the angle of reflection equals the angle of incidence - r i. it on the other side of the center such that the point of reflection becomes the midpoint of the segment joining the point with its image. Other transformations include translations, rotations, and dilations. ![]() This tells us that the coordinate of the reflected point is \((9,12)\).A reflection is a type of transformation. So to get the reflected point \(P'\), we must add \(3\) to the \(x\)-coordinate and \(4\) to the \(y\)-coordinate of \(M(6,8)\), as illustrated below: The original shape being reflected is called the pre-image. This type of transformation creates a mirror image of a shape, also known as a flip. When you create a reflection of a figure, you use a special line, called (appropriately enough) a reflecting line, to make the transformation. ![]() The line is called the line of reflection. We can see that the difference in \(x\)-coordinates between \((3,4)\) and \((6,8)\) is \(3\), and the difference in \(y\)-coordinates is \(4\). In Geometry, reflection is a transformation where each point in a shape is moved an equal distance across a given line. ![]() We must now use this information to find the reflected point. (So in terms of vectors, \(\overrightarrow x = 50,\] that is, \ Then substituting this into either equation gives \(y = 8\), so \(M\) lies at \((6,8)\). The point \(P(3,4)\) and its reflection \(P'\) in the line \(L\) are related in two ways: the line \(PP'\) is perpendicular to the line \(L\), and \(P\) and \(P'\) are equidistant (equal distances) from \(L\). Let \(L\) be the line with equation \(3x + 4y = 50\). What is the reflection of the point \((3,4)\) in the line \(3x + 4y = 50\)?
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