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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

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2 votes

Answer:

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

Explanation:

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User Sebastian Boldt
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4 votes

Answer:

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)

User Aaron Fischer
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5.9k points