Allied & ICAR Exam Bank • ALLIED_1938 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A right triangle has vertices at (0, 0), (4, 0), and (0, 3). If it is reflected across the horizontal line y = -1, what are the vertices of the reflected triangle?

Options:

  • (A) (0, -2), (4, -2), and (0, -5)
  • (B) (0, -1), (4, -1), and (0, -4)
  • (C) (0, 2), (4, 2), and (0, 5)
  • (D) (-2, 0), (-2, 4), and (-5, 0)

Answer Key:

A

Step-by-Step Solution & Explanation

Reflection across horizontal line y = c transforms y to 2c - y. With c = -1: y' = -2 - y. For y = 0, y' = -2. For y = 3, y' = -5. Vertices: (0, -2), (4, -2), (0, -5).
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