If a figure is translated by the vector (dx, dy), what are the new coordinates of a point (x, y)?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

If a figure is translated by the vector (dx, dy), what are the new coordinates of a point (x, y)?

Explanation:
Translation moves every point by a fixed amount in both directions. When you translate a point by the vector (dx, dy), you add dx to the x-coordinate and dy to the y-coordinate. So the new position is (x + dx, y + dy). For example, translating (3, 5) by (2, -1) lands at (5, 4). The others would represent no movement at all or movement in only one direction: staying as (x, y), moving horizontally to (x + dx, y), or moving vertically to (x, y + dy).

Translation moves every point by a fixed amount in both directions. When you translate a point by the vector (dx, dy), you add dx to the x-coordinate and dy to the y-coordinate. So the new position is (x + dx, y + dy). For example, translating (3, 5) by (2, -1) lands at (5, 4). The others would represent no movement at all or movement in only one direction: staying as (x, y), moving horizontally to (x + dx, y), or moving vertically to (x, y + dy).

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