The vertices of a rectangle are R5 5 S1 5 T1 1 and U5 1 A tr

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.

Solution

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1).

Translation maps R to the point (–4, 2)

That means R(-5-5) maps to ( -4,2)

Also, - 5 + 1 = -4 and -5 + 7 = -2

Point U( -5 , 1) = ( - 5 + 1, 2 + 1) = ( -4, 8)

Thus translation rule is T<1,7>(RSTU), and Image is ( -4,8)

Therefore, correct option is B.