Allied & ICAR Exam Bank • ALLIED_2412MCQ • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Spatial Reasoning & 3D Representations
Question Statement:
A line segment connects A(1, 2) to B(4, 5). The segment is reflected across the diagonal line y = x. What are the coordinates of the reflected endpoints A' and B'?
Options:
(A) A'(2, 1) and B'(5, 4)
(B) A'(-1, -2) and B'(-4, -5)
(C) A'(-2, -1) and B'(-5, -4)
(D) A'(1, -2) and B'(4, -5)
Answer Key:
A
Step-by-Step Solution & Explanation
Reflection across the line y = x exchanges the coordinates: (x, y) maps to (y, x). Therefore, A(1, 2) maps to (2, 1) and B(4, 5) maps to (5, 4).