4
QuizMultiple Choice

Translations

Question 4 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

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).

AI-written and checked against the verified answer.

Previous
Next