Repeat a reflection for a second new parallelogram. 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. 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.The final figure will be an equal distance. A reflection reverses the object’s orientation relative to the given line. The most frequently used lines are the y-axis, the x-axis, and the line y x, though any straight line will technically work. What types of scale factor will generate a reduction? A reflection in geometry is a mirror image of a function or object over a given line in the plane.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. Step 3 : Based on the rule given in step 1, we have to find the vertices of the reflected triangle A'B'C'. So the rule that we have to apply here is (x, y) -> (y, -x). Step 2 : Here triangle is rotated about 90 clock wise. Choose relative sizes (scale factors) less than 1 as well as greater than 1. Step 1 : First we have to know the correct rule that we have to apply in this problem. 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. The combination of a line reflection in the y-axis, followed by a line reflection in the x-axis, can be renamed as a single transformation of a rotation of 180. 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. In other words, the line of reflection is directly in the middle of both points. Dilations can be performed on a coordinate plane. The line of reflection is equidistant from both red points, blue points, and green points.
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