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![]() Of that target triangle that they asked me to map to, to translate to. I was able to, through the translation, the image is now in kind ![]() This line, about which the object is reflected, is called the 'line of symmetry.' Lets look at a typical ACT line of symmetry problem. Any point or shape can be reflected across the x-axis, the y-axis, or any other line, invisible or visible. And I was able to get onto this triangle. A reflection in the coordinate plane is just like a reflection in a mirror. 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. In this article, well practice the art of translating shapes. 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 describe a translation using words like 'moved up 3 and over 5 to the left' or with notation. A translation is just moving a figure to a different place on a coordinate grid.
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