![]() Positive y translates upwards, negative y translates downwards.Step 2: Extend the line segment in the same direction and by the same measure. Since the reflection line is perfectly horizontal, a line perpendicular to it would be perfectly vertical. Subtracting instead of adding would give you the opposite effect, and translate the point up and to the right instead of down and to the left. Whatever pint youre translating, you add -34 to the x-coordinate and -502 to the y-coordinate. Positive x translates to the right, negative x translates to the left. Step 1: Extend a perpendicular line segment from A to the reflection line and measure it. The -34 and -502 are the rules for the translation.Always remember the translation is the final position minus the start position, and double check that the signs are consistent with the rules: If we compare the top points of the two triangles, we can see that the translation distance is 5.Ī second common mistake is to get the signs of the translation vector incorrect. This distance is 2.īut that distance isn't the translation distance, because we are not using the equivalent points on each shape. In this diagram, we have marked the distance from the rightmost point of A to the leftmost point of B. The slide won’t change the shape or size of the figure, and with no rotation, the orientation won’t change either. In a rotation image, the image WILL change its orientation its held at and move the points left or right prior to their setting. In other words, a translation vector can be thought of as a slide with no rotating. Sample response: The flags are a translation of each other, moving only a few coordinate points ahead but NOT changing their orientation or direction. Show the result of translating this shape:Ī common mistake is to use the gap between the shapes rather than the distance the shape has been translated: A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. The shape is moved 4 units to the left and 5 units up, so the translation vector is:ĭescribe the single transformation that maps shape A onto shape B: The shape is moved 3 units to the right and 4 units up, so the translation vector is: Here, try translating this segment by dragging it from the middle, not the endpoints: Notice how the segments direction and length stayed the same as you moved it. ![]() This example shows a rectangle translated in the x and y directions: In geometry, a translation moves a thing up and down or left and right. Rule: A positive y translation moves the shape upwards, and a negative y translation moves the shape downwards.
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