3
QuizMultiple Choice

Translations

Question 3 • ! MCHS (CR25) - GEOMETRY

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).

Answer
A
T–4, 3(x, y)
B
T–4, 1(x, y)
C
T4, –1(x, y)
D
T4, –3(x, y)

Explanation

Compare a vertex with its image: A moves from (−6, −2) to (−10, 1). The x-coordinate changes by −10 − (−6) = −4, and the y-coordinate changes by 1 − (−2) = 3. So every point is translated 4 units left and 3 units up, which is choice A, T₋₄,₃(x, y).

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