Rectangle ABCD has vertices cap A times open paren negative 6 comma negative 2 close paren , cap b times open paren negative 3 comma negative 2 close paren , cap c times open paren negative 3 comma negative 6 close paren , and cap d times open paren negative 6 comma negative 6 close paren The rectangle is translated so that the coordinates of the image are cap A prime times open paren negative 10 comma 1 close paren , cap b prime times open paren negative 7 comma 1 close paren , cap c prime times open paren negative 7 comma negative 3 close paren , and cap d prime times open paren negative 10 comma negative 3 close paren Which rule was used to translate the image?
Answer
A
cap t sub negative 4 comma 1 times open paren x comma y close paren
B
cap t sub 4 comma negative 3 times open paren x comma y close paren
C
cap t sub 4 comma negative 1 times open paren x comma y close paren
D
cap t sub negative 4 comma 3 times open paren x comma y close paren
Explanation
Compare a vertex with its image: A moves from (−6, −2) to A′(−10, 1). The x-coordinate changes by −10 − (−6) = −4, and the y-coordinate changes by 1 − (−2) = 3. So the translation rule is T(−4, 3), which is choice D.
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