The graph of y - x2 represents a reflection of y x2, over the x -axis. Repeat a reflection for a second new parallelogram. Reflecting Graphs Over the y-axis and x-axis Consider the graphs of the functions y x2 and y - x2, shown below. Translate your parallelogram according to the direction of translation, then record the reflected coordinates. Fill in the columns for Original Coordinates. Make a copy of the table and paste it into your notes. Reset the sketch and place a new parallelogram on the coordinate grid. Use the interactive sketch to complete the following table. Use the box containing the translate button to indicate the direction of the translation. Use the buttons labeled “New Square,” “New Parallelogram,” and “New Triangle” to generate a new polygon on the coordinate plane. In this section of the resource, you will investigate translations that are performed on the coordinate plane.Ĭlick on the interactive sketch below to perform coordinate translations. Translations do not change the size, shape, or orientation of a figure they only change the location of a figure. plane shapes in state and use the Present graphs of plane objects and their reflected coordinates the x and y axes mapping of reflection images. A translation is a transformation in which a polygon, or other object, is moved along a straight-line path across a coordinate or non-coordinate plane. What types of scale factor will generate an enlargement?Īnother type of congruence transformation is a translation.What types of scale factor will generate a reduction?.Choose resize points (center of dilation) of the origin, (0, 0), as well as other points in the coordinate plane.Ĭlick to see additional instructions in using the interactive sketch.
Choose relative sizes (scale factors) less than 1 as well as greater than 1. Perform dilations with a triangle, a rectangle, and a hexagon. Once you have done so, use your experiences to answer the questions that follow. Second, you need a center of dilation, or reference point from which the dilation is generated.Ĭlick on the sketch below to access the interactive and investigate coordinate dilations. First, you need to know the scale factor, or magnitude of the enlargement or reduction. To perform a dilation on a coordinate plane, you need to know two pieces of information. A dilation can be either an enlargement, which results in an image that is larger than the original figure, or a reduction, which results in an image that is smaller than the original figure. Dilations can be performed on a coordinate plane.
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