The rule for the translation is (x, y) → (x+3, y−1)
In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a new shape (called the image). A translation is a type of transformation that moves each point in a figure the same distance in the same direction. Translations are often referred to as slides.
According to the figure given to us,
Let us denote the coordinates of the triangle IGH which is
I(-5,3) , G(-6,6) and H(1,5)
Now the coordinates of I’G’H’
I’(-2,2) , G’(-3,5) and H’(4,4)
From these given points we will choose one point. Lets take point H(1,5) and H’(4,4)
In general translation is given as, P(x, y) → P’(x+a, y+b)
In this case, H(1,5) → H’(1 + a , 5+b) or, H(1,5) → H’(4,4)
Therefore, 1+a = 4 and 5+b = 4
a = 3 and b = -1
Thus the rule is
(x, y) → (x+3, y−1)
Learn more about translation here : https://brainly.com/question/12861087
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