Allied & ICAR Exam Bank • ALLIED_2561 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A triangular farm plot has vertices at (1, 1), (3, 1), and (1, 4). If the plot is reflected across the vertical line x = 5, what is the x-coordinate of the centroid of the reflected plot? (Round to two decimal places)

Answer Key:

8.33

Step-by-Step Solution & Explanation

The x-coordinate of the centroid is (1 + 3 + 1)/3 = 5/3 = 1.667. Reflection across x = 5 gives x' = 2(5) - 5/3 = 10 - 1.667 = 8.333.
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