Question

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–4, 2). Find the translation rule and the image of U.

Answer 1

The answer to this question is:

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–4, 2). Find the translation rule and the image of U."(-4,8)"

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Answer 2

The translation rule is < 1, 7 > The image of U(-5,1) is (-4,8)

Step-by-step explaination:

Given the vertices of rectangle which are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1).It is also given that the translation maps R(-5,-5) to the point (–4, 2). we have to find the translation rule and the image of U.

To find the translation rule

Step 1: Horizontal shift. -4-(-5)=1 unit i.e R is shifted to 1 unit.

Step 2: Vertical shift. 2-(-5)=7 units i.e R is shifted to 7 units.

Hence,the translation rule is < 1, 7 >

Now, image of U(-5,1)

U(-5,1) → U'(-5+1, 1+7) = U'(-4,8)

Hence, The image of U(-5,1) is (-4,8)