Question 4 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY
Rectangle ABCD has vertices A(−6,−2), B(−3,−2), C(−3,−6), and D(−6,−6). The rectangle is translated so that the coordinates of the image are A′(−10, 1), B′(−7, 1), C′(−7,−3), and D′(−10,−3). Which rule was used to translate the image?
Answer
A
cap t sub 4 comma negative 1 times open paren x comma y close paren
B
cap t sub negative 4 comma 3 times open paren x comma y close paren
C
cap t sub 4 comma negative 3 times open paren x comma y close paren
D
cap t sub negative 4 comma 1 times open paren x comma y close paren
Explanation
Compare a vertex with its image: A(−6, −2) moves 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 B.
AI-written and checked against the verified answer.