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Performing translations

Sal shows how to perform a translation on a triangle using our interactive widget!

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• When Sal says X or Y direction, he means along the X and Y axis right?
• Yes, because he is showing how to do translations. So to translate, you have to move the object on the x and y axis.
• so the first number is a left or right and then the second is up or down?
• Yes ,first one would look at the x-axis(left or right) and then one would look at the y-axis(up or down).
• How can I write a rule for translation; (x,y)--> ??
• If you shift it a in x direction and b in y direction, it would be (x+a, y+b)
• Why is it called a rigid transformation and what makes it so unique? Thanks.
• It's called rigid because we're not twisting or doing anything else weird to the figure.

You'll learn later that these transformations can be expressed as matrices, rectangular arrays of numbers. What makes these types of transformations unique is that
1. All of them can be expressed as matrices
2. All transformations that can be expressed as matrices are just combinations of these transformations

So these transformations serve as a helpful way to visualize what matrices are, since they mirror them so closely.
• which one is the x and which one is the y
• The x-axis is the horizontal line, and the y-axis is the vertical one! Hope this helped!
• so he moves six across to the X-axis it look like he move a bit more and 3 down it looks like 4 or 5