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Triangle FGH is translated using the rule (x,y) > (x+3,y-1). What are the coordinates of H ?

Triangle FGH is translated using the rule (x,y) > (x+3,y-1). What are the coordinates-example-1
User FDI
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Answer:
H'(4,-3)

Explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.

In this case you know that the Pre-Image is the Triangle FGH.

You can identify in the picture that its vertex H has these coordinates:


H(1,-2)

Where:


x=1\\y=-2

Since the rule is:


(x,y)
(x+3,y-1)

You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:


H'=(1+3,-2-1)=(4,-3)

User RamC
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