ISEE Middle Level Quantitative Reasoning · Question of the Day

ISEE Middle Level Quantitative Reasoning Question of the Day

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Monday, September 28, 2026

A sequence of two reflections across two parallel lines results in a single translation. If a figure is reflected first across the line y = –2 and then across the line y = 3, what is the total vertical distance of the resulting translation?

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Question of the Day

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A sequence of two reflections across two parallel lines results in a single translation. If a figure is reflected first across the line y = –2 and then across the line y = 3, what is the total vertical distance of the resulting translation?

  1. 1 unit
  2. 5 units
  3. 10 units (correct answer)
  4. 2.5 units

Explanation: The distance of the translation resulting from two reflections over parallel lines is twice the distance between the lines. The distance between the line y = –2 and y = 3 is |3 – (–2)| = 5 units. Therefore, the distance of the translation is 2 × 5 = 10 units.