107537
AssignmentMultiple Choice

Translations

Question 107537 • LA-Geometry A ? Distance Learning

Randy draws triangle ABC on the coordinate plane with vertices A(7, –4), B(10, 3), and C(6, 1). He then translates the figure so the coordinates of the image are A′(5, 1), B′(8, 8), and C′(4, 6). What rule did he use to draw the image?

Answer
A
T–5, 2(x, y)
B
T–2, 5(x, y)
C
T2, –5(x, y)
D
T5, –2(x, y)

Explanation

Compare A(7, −4) with A′(5, 1): the x-coordinate decreases by 2, and the y-coordinate increases by 5. So the translation rule is (x, y) → (x − 2, y + 5), written T₋₂,₅. This matches choice B.

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