G(3,-3) H (-5,-1) Y (-4,3) K (2,2) Size Change? _ Shape Change? _ Orientation ? _ x-values (-3,-3) (5,-1) (4,3) (-2,2) No No Yesħ Since the new x-values are opposite from the pre-image, the size and shape of the image stayed the same, but the orientation changed. The order of transformations performed in a composite transformation matters. A composite transformation is when two or more transformations are performed on a figure (called the preimage) to produce a new figure (called the image). Reflection in the x - axis Reflection in the y-axis (x, y) f (x, -y) (x, y) f (-x, y) Look at the graph below. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. The corresponding sides have the measurement. To perform a geometry reflection, a line of reflection is needed the resulting orientation of the two figures are opposite. The corresponding angles have the measurement. Watch an animated demonstration of translating and reflecting a triangle on the coordinate. Ina reflection, the pre-image & image are. Collection: Math at the Core: Middle School. Reflect across the y-axis, so the _ will change signs. Reflections A transformationin which a figure is, in a line, called the. The final figure is exactly equal to the original. W (-5,2) W’ X (3,0) X’ Y (-2,-5) Y’ Size Change? _ Shape Change? _ Orientation ? _ y-values (-5,-2) (3,0) (-2,5) No No YesĦ Draw the figure. A congruence transformation is a moved figure that retains the same size, shape, angles, and side lengths of the original image. Reflect across the x-axis, so the _ will change signs. Example: ( 0, 3 ) Example: (-3,-8) x-axis sign y-value (0,-3) y-axis sign x-value (3,-8)ĥ Draw the figure. When reflecting a shape across the _, change the _ of the _. Vertice Identify the coordinate of each _. NOT When you reflect an image across the coordinate plane axis, it does _ change the _ or _, but it does change the _ of the shape to a mirror image of the pre-image (the way the shape look compared from the pre-image) With a reflection transformation angle measures _ With a reflection transformation side measures _ size shape orientation keeps congruency keeps congruencyĤ Rules for algebraically reflecting shapes It is easy to see, because one half is the reflection of the other half. For each of the figures points: - multiply the x-value by -1. Once reflected across the _ and the _, each vertice of the image is the _ distance from the line of reflection. The simplest symmetry is Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry ). How do you describe the properties of reflection and their effect on the congruence and orientation of figures? Reflections keeps the size and shape, but not the orientation!įlips Reflection – a transformation that _ a figure across a line That line is called _. Identify and state rules describing reflections using notation Rules for Reflections. In coordinate geometry problems, there are special rules for certain types of transformations.
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