![]() And I was able to get onto this triangle. To the left by seven, and has been shifted down by four. To successfully translate it by translating x by negative seven, every point here, every point on this has been shifted What happens? And it looks like I was able And now, in the y axis, I need to move it down by, let's see, one, two, three, four. Negative seven, and then, let's see, on the y side, and we saw that, by just typing in negative seven, here we moved it to the left by seven. So my x would have to decrease by seven, so let me type that in. How much do we translate the x coordinates, and how much do we translate the y coordinates? Let's see, if I want to map, if I want to get point W to correspond to this point right over here, which it seems like it should, I would have to go from x equals two, to x equals negative five. ![]() So it says translate by, and this is gonna say so To use the translation tool to determine the translation that will map triangle WIN, so this right over here, onto the other triangle. Tell me if you're still confused and need me to simplify this again. Sorry if this was long and a bit complicated. And because he moved down it's negative so the y coordinate is -4(If he moved up then it would be positive). Because he moved left, it's a negative so the x coordinate is -7(If it was to the right then it would be positive). ![]() He does this by solving for their coordinates (x,y) (x(horizontal) always comes before the y(vertical)). Here, Sal translates the blue triangle to fit in the gray triangle. It's the same thing with figures on a coordinate plane. You're still yourself, you haven't changed anything about yourself but you just changed positions. Say you're in your house but then you go outside. The figure still has the same size, you're just moving it in a different place. You can know how to slide a shape using the T ( a, b ) T ( − 10, 3 ) because the first value is always the x-axis.A translation is just moving a figure to a different place on a coordinate grid. To avoid confusion, the new image is indicated with a little prime stroke, like this: P′, and that point is pronounced “ P prime. Suppose you have Point P located at (3, 4). The original reference point for any figure or shape is presented with its coordinates, using the x-axis and y-axis system, (x,y). Reflection – exchanging all points of a shape or figure with their mirror image across a given line (like looking in a mirror) Stretch – a one-way or two-way change using an invariant line and a scale factor (as if the shape were rubber) ![]() Shear – a movement of all the shape’s points in one direction except for points on a given line (like a crate being collapsed) Rotation – turning the object around a given fixed pointĭilation – a decrease in scale (like a photocopy shrinkage)Įxpansion – an increase in scale (like a photocopy enlargement) Translation – moving the shape without any other change ![]() You can perform seven types of transformations on any shape or figure: Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.įor example, you may find you want to translate and rotate a shape. an isometry) because it does not change the size or shape of the original figure. A translation is a rigid transformation (a.k.a. ![]()
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