Question

The vertices of a rectangle are R(-5,-5),S(-1,-5), T(-1,1. and U(-5,1). After translation, R' is the point (-3,-2). What are the translation rule and coordinates of U

Answer 1

the answer is (x, y) → (x - 6, y - 6); (-11, -5)

Explanation:

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Answer 2

The Translation rule is:

`(x,y)` →
`(x+2,y+3)`

The coordinates of the image of point "U":

`U'(-3,4)`

Explanation:

Given a point "P", its translation will be:

`P(x, y)` →
`(x+a, y+b)`

After the translation of the rectangle RSTU, the point R' obtained is:

`R'(-3,-2)`

Since:

`R(-5+a,-5+b)` →
`R'(-3,-2)`

You can find the values of "a" and "b" through this procedure:

- Finding "a":

`-5+a=-3\\\\a=-3+5\\\\a=2`

- Finding "b":

`-5+b=-2\\\\b=-2+5\\\\b=3`

Therefore, the Translation rule is:

`(x,y)` →
`(x+2,y+3)`

Then, if the point "U" is:

`U(-5,1)`

After translation its image is:

`U(-5+2,1+3)` →
`U'(-3,4)`